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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMEX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMEX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /parenleftbig put dup 1 /parenrightbig put dup 2 /bracketleftbig put dup 3 /bracketrightbig put dup 8 /braceleftbig put dup 9 /bracerightbig put dup 10 /angbracketleftbig put dup 11 /angbracketrightbig put dup 12 /vextendsingle put dup 13 /vextenddouble put dup 18 /parenleftbigg put dup 19 /parenrightbigg put dup 56 /bracelefttp put dup 58 /braceleftbt put dup 60 /braceleftmid put dup 62 /braceex put dup 80 /summationtext put dup 82 /integraltext put dup 88 /summationdisplay put dup 90 /integraldisplay put dup 101 /tildewide put dup 102 /tildewider put dup 103 /tildewidest put dup 104 /bracketleftBig put dup 105 /bracketrightBig put dup 112 /radicalbig put readonly def /FontBBox{-24 -2960 1454 772}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSS8 %!PS-AdobeFont-1.1: CMSS8 1.0 %%CreationDate: 1991 Aug 20 17:34:12 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSS8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMSS8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 76 /L put readonly def /FontBBox{-65 -250 1062 761}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: rsfs7 %!PS-AdobeFont-1.0: rsfs7 001.000 %%CreationDate: Sat Mar 21 18:45:46 1998 %%VMusage: 120000 150000 11 dict begin /FontInfo 14 dict dup begin /version (001.001) readonly def /Copyright (Conversion of metafont curves by Metafog (c) 1995 Richard Kinch) readonly def /Notice (Copyright (c) Taco Hoekwater, 1998. All rights reserved.) readonly def /FullName (rsfs7) readonly def /FamilyName (rsfs7) readonly def /ItalicAngle -12 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def /Weight (Roman) readonly def end readonly def /FontName /rsfs7 def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 66 /B put dup 85 /U put readonly def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /FontBBox {16 -302 1349 728} readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 61 /equal put readonly def /FontBBox{-53 -251 1139 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMBX10 %!PS-AdobeFont-1.1: CMBX10 1.00B %%CreationDate: 1992 Feb 19 19:54:06 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMBX10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /zero put readonly def /FontBBox{-301 -250 1164 946}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMIB10 %!PS-AdobeFont-1.1: CMMIB10 1.100 %%CreationDate: 1996 Jul 23 07:54:00 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMIB10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Bold) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMIB10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 72 /H put dup 80 /P put dup 104 /h put readonly def /FontBBox{-15 -250 1216 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY5 %!PS-AdobeFont-1.1: CMSY5 1.0 %%CreationDate: 1991 Aug 15 07:21:16 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 48 /prime put readonly def /FontBBox{21 -944 1448 791}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI5 %!PS-AdobeFont-1.1: CMMI5 1.100 %%CreationDate: 1996 Aug 02 08:21:10 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 78 /N put dup 96 /lscript put dup 100 /d put dup 106 /j put dup 107 /k put dup 114 /r put dup 115 /s put dup 116 /t put dup 120 /x put readonly def /FontBBox{37 -250 1349 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA06DA87FC7163A5A2A756A598FAB07633 89DE8BB201D5DB4627484A80A431B6AFDBBBF23D4157D4AFE17E6B1C853DD417 25F84CD55402AB88AB7EEFDEDBF2C2C731BD25567C53B474CCF739188A930039 098A197F9C4BE7594D79442B2C8A67447DE44698321145D7689B91EF235EA80E B600AA8E238064F154284096C4C2554EFE8DDF13AFF8D3CE30E0999375C0FEE6 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cleartomark %%EndFont %%BeginFont: MSBM7 %!PS-AdobeFont-1.1: MSBM7 2.1 %%CreationDate: 1992 Oct 17 08:30:50 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM7) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 67 /C put dup 82 /R put dup 83 /S put readonly def /FontBBox{0 -504 2615 1004}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR5 %!PS-AdobeFont-1.1: CMR5 1.00B %%CreationDate: 1992 Feb 19 19:55:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR5) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put readonly def /FontBBox{-341 -250 1304 965}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY7 %!PS-AdobeFont-1.1: CMSY7 1.0 %%CreationDate: 1991 Aug 15 07:21:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 3 /asteriskmath put dup 6 /plusminus put dup 8 /circleplus put dup 20 /lessequal put dup 33 /arrowright put dup 38 /arrowsoutheast put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 72 /H put dup 106 /bar put readonly def /FontBBox{-15 -951 1252 782}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI7 %!PS-AdobeFont-1.1: CMMI7 1.100 %%CreationDate: 1996 Jul 23 07:53:53 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 14 /delta put dup 16 /zeta put dup 17 /eta put dup 18 /theta put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 24 /xi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 30 /phi put dup 34 /epsilon put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 64 /partialdiff put dup 65 /A put dup 72 /H put dup 74 /J put dup 78 /N put dup 80 /P put dup 81 /Q put dup 83 /S put dup 88 /X put dup 96 /lscript put dup 100 /d put dup 102 /f put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 109 /m put dup 110 /n put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 120 /x put dup 121 /y put readonly def /FontBBox{0 -250 1171 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSBM10 %!PS-AdobeFont-1.1: MSBM10 2.1 %%CreationDate: 1993 Sep 17 11:10:37 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 63 /emptyset put dup 67 /C put dup 82 /R put dup 83 /S put readonly def /FontBBox{-55 -420 2343 920}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR7 %!PS-AdobeFont-1.1: CMR7 1.0 %%CreationDate: 1991 Aug 20 16:39:21 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 6 /Sigma put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 61 /equal put dup 91 /bracketleft put dup 93 /bracketright put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 105 /i put dup 110 /n put dup 112 /p put dup 114 /r put readonly def /FontBBox{-27 -250 1122 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSS10 %!PS-AdobeFont-1.1: CMSS10 1.0 %%CreationDate: 1991 Aug 20 17:33:34 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSS10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMSS10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 68 /D put dup 73 /I put dup 76 /L put dup 109 /m put readonly def /FontBBox{-61 -250 999 759}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR10 %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 6 /Sigma put dup 33 /exclam put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 53 /five put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 67 /C put dup 91 /bracketleft put dup 93 /bracketright put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 119 /w put dup 120 /x put readonly def /FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 6 /plusminus put dup 7 /minusplus put dup 17 /equivalence put dup 20 /lessequal put dup 21 /greaterequal put dup 26 /propersubset put dup 27 /propersuperset put dup 33 /arrowright put dup 38 /arrowsoutheast put dup 49 /infinity put dup 50 /element put dup 51 /owner put dup 55 /mapsto put dup 57 /existential put dup 68 /D put dup 72 /H put dup 79 /O put dup 86 /V put dup 91 /union put dup 92 /intersection put dup 102 /braceleft put dup 103 /braceright put dup 104 /angbracketleft put dup 105 /angbracketright put dup 106 /bar put dup 107 /bardbl put dup 110 /backslash put dup 114 /nabla put readonly def /FontBBox{-29 -960 1116 775}readonly def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMMI10 %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 11 /alpha put dup 13 /gamma put dup 14 /delta put dup 16 /zeta put dup 17 /eta put dup 18 /theta put dup 20 /kappa put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 24 /xi put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 30 /phi put dup 31 /chi put dup 32 /psi put dup 33 /omega put dup 34 /epsilon put dup 39 /phi1 put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 64 /partialdiff put dup 65 /A put dup 66 /B put dup 67 /C put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 78 /N put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 96 /lscript put dup 100 /d put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 120 /x put dup 121 /y put dup 122 /z put readonly def /FontBBox{-32 -250 1048 750}readonly def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D5993DFC0930297866E1CD0A319B6B1FD958 9E394A533A081C36D456A09920001A3D2199583EB9B84B4DEE08E3D12939E321 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All Rights Reserved) readonly def /FullName (CMR9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 49 /one put dup 61 /equal put readonly def /FontBBox{-39 -250 1036 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR6 %!PS-AdobeFont-1.1: CMR6 1.0 %%CreationDate: 1991 Aug 20 16:39:02 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 48 /zero put dup 50 /two put readonly def /FontBBox{-20 -250 1193 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI9 %!PS-AdobeFont-1.1: CMMI9 1.100 %%CreationDate: 1996 Jul 23 07:53:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI9) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 59 /comma put dup 72 /H put dup 80 /P put dup 83 /S put dup 104 /h put readonly def /FontBBox{-29 -250 1075 750}readonly def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY9 %!PS-AdobeFont-1.1: CMSY9 1.0 %%CreationDate: 1991 Aug 15 07:22:27 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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2046 y Fx(\()p Fz(')p Fx(\))h FA(\(see)e(Theorem)f(4.10\).)f(In)i (Corollary)f(4.11)g(we)i(e)o(xhibit)515 2146 y(tw)o(o)23 b(classes)h(of)f(functions)e Fz(h)j FA(for)e(which)g(the)h(commutation) e(assumption)h(is)i(satis\002ed.)f(Basically)-5 b(,)515 2246 y(these)25 b(tw)o(o)h(classes)h(of)e(functions)f(are)i(the)f (radial)h(functions)e(and)h(the)g(polynomials)f(of)h(de)o(gree)f Fx(1)p FA(.)515 2345 y(So,)i(in)h(particular)m(,)e(our)g(results)i(co)o (v)o(er)e(and)h(shed)h(a)g(ne)n(w)f(light)g(on)g(the)h(case)g(of)f(the) h(Schr)7 b(\250)-35 b(odinger)515 2445 y(operator)18 b Fz(h)p Fx(\()p Fz(x)p Fx(\))24 b(=)f Fz(x)1130 2415 y Fv(2)1167 2445 y FA(.)704 2545 y(In)e(Section)h(5,)f(we)h(consider)f (as)h(an)g(illustration)f(of)g(our)g(approach)f(the)i(simple,)f(b)n(ut) h(instruc-)515 2644 y(ti)n(v)o(e,)k(case)h(of)f(the)g(one-dimensionnal) d(Friedrichs)j(Hamiltonian)f Fz(H)2575 2656 y Fv(0)2647 2644 y Fx(=)34 b Fz(Q)26 b FA(\()p Fz(H)2935 2656 y Fv(0)2999 2644 y FA(is)i(of)e(the)g(form)515 2744 y Fz(h)p Fx(\()p Fz(P)12 b Fx(\))21 b FA(after)f(a)g(F)o(ourier)f(transformation\).)e(W) -7 b(e)21 b(v)o(erify)e(all)i(the)f(assumptions)f(of)h(Section)g(4)g (when)g Fz(H)515 2843 y FA(is)f(a)f(re)o(gular)e(enough)g(\002nite)i (rank)f(perturbation)e(of)j Fz(H)2095 2855 y Fv(0)2132 2843 y FA(.)g(The)g(main)f(dif)n(\002culty)g(consists)h(in)g(sho)n (wing)515 2943 y(\(as)j(in)h(the)f(Schr)7 b(\250)-35 b(odinger)18 b(case)k([4)o(,)g(26)o(]\))f(that)g(the)g(scattering)g (operator)e(maps)i(some)g(dense)g(set)h(into)515 3043 y(itself.)28 b(Essentially)h(this)f(reduces)g(to)g(pro)o(ving)e(that)j (the)f(scattering)g(matrix)f Fz(S)5 b Fx(\()p Fz(x)p Fx(\))30 b FA(is)f(suf)n(\002ciently)515 3142 y(dif)n(ferentiable)16 b(on)i Fu(R)13 b Fy(n)g Fz(\033)1256 3154 y Fv(pp)1333 3142 y Fx(\()p Fz(H)7 b Fx(\))p FA(,)19 b(which)f(is)i(achie)n(v)o(ed)d (by)h(pro)o(ving)e(a)j(stationary)f(formula)f(for)h Fz(S)5 b Fx(\()p Fz(x)p Fx(\))515 3242 y FA(and)18 b(by)g(using)g(higher)f 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Fv(0)2331 1549 y Fy(2)37 b Fu(R)p FA(,)28 b Fz(v)39 b Fy(2)e Fz(X)30 b Fy(n)24 b(f)p Fx(0)p Fy(g)p FA(,)i(and)h(we)h(ha)n(v)o(e)515 1649 y Fz(h)p Fx(\()p Fz(X)7 b Fx(\))32 b(=)g Fu(R)26 b FA(and)f Fz(\024)p Fx(\()p Fz(h)p Fx(\))33 b(=)f Fu(?)p FA(.)25 b(So)h Fz(H)1648 1661 y Fv(0)1711 1649 y FA(has)g(purely)e (absolute)o(y)f(continuous)h(spectrum)g Fz(\033)s Fx(\()p Fz(H)3300 1661 y Fv(0)3338 1649 y Fx(\))33 b(=)515 1749 y Fz(\033)562 1761 y Fv(ac)629 1749 y Fx(\()p Fz(H)730 1761 y Fv(0)767 1749 y Fx(\))24 b(=)e Fu(R)p FA(.)c(Moreo)o(v)o(er)c (the)j(operators)e Fz(A)23 b Fy(\021)g(\000)p Fx(2)2101 1716 y Ft(v)p 2085 1730 68 4 v 2085 1777 a(v)2120 1761 y Fr(2)2168 1749 y Fy(\001)6 b Fz(Q)17 b FA(and)g Fz(h)p Fx(\()p Fz(P)12 b Fx(\))23 b Fy(\021)g Fz(v)2746 1761 y Fv(0)2789 1749 y Fx(+)6 b Fz(v)j Fy(\001)d Fz(P)29 b FA(are)17 b(self)o(ajoint,)515 1848 y(and)29 b(ha)n(v)o(e)h Fo(S)16 b Fx(\()p Fz(X)7 b Fx(\))31 b FA(as)f(a)h(common)d(core.)i(The) g(associated)g(unitary)f(groups)f Fz(U)9 b Fx(\()p Fz(t)p Fx(\))42 b(:=)3177 1845 y(e)3214 1818 y Ft(itA)3348 1848 y FA(and)515 1948 y Fz(V)19 b Fx(\()p Fz(s)p Fx(\))k(:=)819 1945 y(e)856 1918 y Ft(ish)p Fv(\()p Ft(P)9 b Fv(\))1077 1948 y FA(are)21 b(continuous,)c(and)j(satisfy)h(the)f(W)-7 b(e)o(yl)21 b(relations)1443 2105 y Fz(U)9 b Fx(\()p Fz(t=)p Fx(2\))p Fz(V)18 b Fx(\()p Fz(s)p Fx(\))24 b(=)1968 2102 y(e)2004 2071 y Ft(its)2102 2105 y Fz(V)19 b Fx(\()p Fz(s)p Fx(\))p Fz(U)9 b Fx(\()p Fz(t=)p Fx(2\))p Fz(:)515 2263 y FA(It)29 b(follo)n(ws)f(by)g(the)h(Stone-v)n(on)e(Neumann)g (theorem)g([37)o(,)i(VIII.14])d(that)j(there)f(e)o(xists)h(a)g(unitary) 515 2362 y(operator)18 b Fo(U)878 2374 y Fv(1)938 2362 y Fx(:)24 b Fy(H)q Fx(\()p Fz(X)7 b Fx(\))22 b Fy(!)h Fw(L)1361 2332 y Fv(2)1399 2362 y Fx(\()p Fu(R)p Fx(;)14 b Fu(C)1588 2332 y Ft(N)1651 2362 y Fz(;)g Fx(d)p Fz(\025)p Fx(\))p FA(,)21 b(with)f Fz(N)29 b FA(\002nite)20 b(or)g(in\002nite,)f (such)h(that)g Fo(U)3061 2374 y Fv(1)3098 2362 y Fz(U)9 b Fx(\()p Fz(t=)p Fx(2\))p Fo(U)3429 2332 y Fs(\003)3408 2383 y Fv(1)515 2462 y FA(is)23 b(the)f(group)f(of)h(translation)f(to)i (the)f(left)h(by)f Fz(t)p FA(,)h(and)e Fo(U)2133 2474 y Fv(1)2171 2462 y Fz(V)e Fx(\()p Fz(s)p Fx(\))p Fo(U)2429 2432 y Fs(\003)2407 2482 y Fv(1)2490 2462 y FA(is)24 b(the)e(group)f(of)h(multiplication)515 2561 y(by)619 2558 y Fx(e)655 2531 y Ft(is\025)754 2561 y FA(.)e(In)g(terms)g(of)g (the)h(generators,)d(this)j(implies)f(the)g(follo)n(wing.)e(W)-7 b(e)22 b(ha)n(v)o(e)1697 2719 y Fo(U)1763 2731 y Fv(1)1800 2719 y Fz(h)p Fx(\()p Fz(P)12 b Fx(\))p Fo(U)2065 2685 y Fs(\003)2043 2739 y Fv(1)2127 2719 y Fx(=)22 b Fz(\025;)515 2876 y FA(where)e(\223)p Fz(\025)p FA(\224)i(stands)g(for)e(the)h (multiplication)f(operator)f(by)i Fz(\025)h FA(in)g Fw(L)2439 2846 y Fv(2)2476 2876 y Fx(\()p Fu(R)p Fx(;)14 b Fu(C)2665 2846 y Ft(N)2729 2876 y Fz(;)g Fx(d)p Fz(\025)p Fx(\))p FA(,)22 b(and)e(we)i(ha)n(v)o(e)f(for)515 2976 y(each)f Fz(')j Fy(2)g(H)q Fx(\()p Fz(X)7 b Fx(\))21 b FA(and)f Fz(\036)j Fy(2)g Fo(D)1438 2946 y Fv(0)1430 2996 y(1)1476 2976 y Fx(\()p Fz(X)7 b Fx(\))1160 3176 y Fy(h)p Fz(';)14 b(A\036)p Fy(i)24 b Fx(=)1538 3063 y Fq(Z)1584 3251 y Fp(R)1644 3176 y Fx(d)p Fz(\025)1752 3108 y Fq(\012)1792 3176 y Fx(\()p Fo(U)1890 3188 y Fv(1)1928 3176 y Fz(')p Fx(\)\()p Fz(\025)p Fx(\))p Fz(;)14 b Fy(\000)p Fx(2)p Fz(i)2323 3135 y Fv(d\()p Ff(U)2440 3143 y Fr(1)2472 3135 y Ft(\036)p Fv(\))p 2323 3157 216 4 v 2392 3204 a(d)p Ft(\025)2548 3176 y Fx(\()p Fz(\025)p Fx(\))2660 3108 y Fq(\013)2700 3209 y Fp(C)2742 3192 y Fn(N)2799 3176 y Fz(;)445 b FA(\(3.19\))515 3390 y(where)768 3358 y Fv(d)p 748 3372 77 4 v 748 3419 a(d)p Ft(\025)855 3390 y FA(denotes)19 b(the)i(distrib)n(utional)e(deri)n(v)n(ati)n(v)o(e.)704 3490 y(F)o(or)j(instance,)g(in)h(the)g(case)g(of)g(the)f (one-dimensional)e(Friedrichs)i(model)g(\()p Fz(h)p Fx(\()p Fz(x)p Fx(\))28 b(=)f Fz(x)p FA(\),)d(one)515 3590 y(has)c Fz(N)32 b Fx(=)23 b(1)p FA(,)d(and)f Fo(U)1122 3602 y Fv(1)1181 3590 y FA(reduces)g(to)h(the)h(one-dimensional)c(F)o(ourier)i (transform.)704 3689 y Fk(Case)h(2:)g FA(Suppose)f(that)h Fz(h)h FA(is)g(radial)f(and)g(satis\002es)h(the)f(hypotheses)f(of)h (Corollary)f(3.5.)g(Then)515 3789 y(there)i(e)o(xists)g(a)h(function)d Fz(h)1317 3801 y Fv(0)1380 3789 y Fy(2)25 b Fz(C)1525 3759 y Fv(3)1562 3789 y Fx(\()p Fu(R)p Fx(;)14 b Fu(R)p Fx(\))23 b FA(such)e(that)g Fz(h)p Fx(\()p Fz(x)p Fx(\))26 b(=)f Fz(h)2449 3801 y Fv(0)2486 3789 y Fx(\()p Fy(j)p Fz(x)p Fy(j)p Fx(\))e FA(for)d(each)h Fz(x)26 b Fy(2)f Fz(X)7 b FA(,)21 b(and)g(we)515 3889 y(ha)n(v)o(e)752 4046 y Fz(\024)800 4058 y Fv(0)860 4046 y Fx(:=)h Fz(\024)p Fx(\()p Fz(h)p Fx(\))i(=)e Fy(f)p Fz(\025)h Fy(2)h Fu(R)f Fy(j)g(9)p Fz(\032)g Fy(2)g Fx([0)p Fz(;)14 b Fy(1)p Fx(\))21 b FA(such)f(that)g Fz(h)2356 4058 y Fv(0)2393 4046 y Fx(\()p Fz(\032)p Fx(\))k(=)e Fz(\025)g FA(and)d Fz(h)2869 4012 y Fs(0)2869 4067 y Fv(0)2906 4046 y Fx(\()p Fz(\032)p Fx(\))24 b(=)f(0)p Fy(g)p Fz(:)515 4203 y FA(In)17 b(particular)f Fz(\024)986 4215 y Fv(0)1041 4203 y FA(is)i(closed)f(as) h Fz(\024)p Fx(\()p Fz(h)p Fx(\))p FA(,)g(and)e(it)i(has)g(measure)e (zero)h(due)g(to)g(Sard')-5 b(s)17 b(Theorem)f(in)h Fu(R)p FA(.)h(W)-7 b(e)515 4303 y(also)17 b(assume)f(that)h Fz(h)1117 4273 y Fs(0)1117 4324 y Fv(0)1177 4303 y Fy(\025)23 b Fx(0)17 b FA(on)f Fx([0)p Fz(;)e Fy(1)p Fx(\))j FA(\(so)g(that)g Fz(h)1967 4268 y Fs(\000)p Fv(1)1967 4325 y(0)2056 4303 y Fx(\()p Fz(\025)p Fx(\))h FA(is)g(unique)d(for)h(each)h Fz(\025)23 b Fy(2)h Fz(h)2984 4315 y Fv(0)3021 4303 y Fx(\([0)p Fz(;)14 b Fy(1)p Fx(\)\))6 b Fy(n)g Fz(\024)3404 4315 y Fv(0)3440 4303 y FA(\))515 4403 y(and)27 b(that)i Fz(h)865 4367 y Fs(\000)p Fv(1)865 4425 y(0)954 4403 y Fx(\()p Fz(\024)1034 4415 y Fv(0)1071 4403 y Fx(\))g FA(has)g(measure)e(zero.)h(These)g(assumptions)f(are)h(satis\002ed)h (by)f(man)o(y)f(physical)515 4502 y(Hamiltonians)f(such)g(as)i(the)f (Schr)7 b(\250)-35 b(odinger)24 b(operator)i(\()p Fz(h)2209 4514 y Fv(0)2245 4502 y Fx(\()p Fz(\032)p Fx(\))36 b(=)g Fz(\032)2532 4472 y Fv(2)2569 4502 y FA(\))27 b(or)g(the)g(square-root) d(Klein-)515 4611 y(Gordon)18 b(operator)h(\()p Fz(h)1163 4623 y Fv(0)1199 4611 y Fx(\()p Fz(\032)p Fx(\))24 b(=)1417 4538 y Fq(p)p 1500 4538 224 4 v 73 x Fx(1)18 b(+)g Fz(\032)1686 4587 y Fv(2)1724 4611 y FA(\).)704 4710 y(T)-7 b(aking)17 b(adv)n(antage)f(of)i(the)g(spherical)f(coordinates,)g(one)g(can)h (deri)n(v)o(e)f(a)h(spectral)g(transforma-)515 4810 y(tion)i Fo(U)731 4822 y Fv(0)789 4810 y FA(for)g Fz(h)p Fx(\()p Fz(P)12 b Fx(\))23 b Fy(\021)g Fz(h)1243 4822 y Fv(0)1280 4810 y Fx(\()p Fy(j)p Fz(P)12 b Fy(j)p Fx(\))p FA(.)p Black 1950 5059 a(11)p Black eop end %%Page: 12 12 TeXDict begin 12 11 bop Black Black Black 515 523 a Fk(Lemma)16 b(3.6.)p Black 31 w Fl(Let)g Fz(h)1130 535 y Fv(0)1183 523 y Fl(be)f(as)h(abo)o(ve)o(.)d(Then)i(the)h(mapping)d Fo(U)2271 535 y Fv(0)2332 523 y Fx(:)23 b Fy(H)q Fx(\()p Fz(X)7 b Fx(\))23 b Fy(!)2718 456 y Fq(R)2773 477 y Fs(\010)2757 553 y Ft(h)2796 561 y Fr(0)2828 553 y Fv(\([0)p Ft(;)p Fs(1)p Fv(\)\))3062 523 y Fx(d)p Fz(\025)14 b Fw(L)3207 493 y Fv(2)3245 523 y Fx(\()p Fu(S)3323 493 y Ft(d)p Fs(\000)p Fv(1)3447 523 y Fx(\))515 632 y Fl(de\002ned)k(by)1076 801 y Fx(\()p Fo(U)1174 813 y Fv(0)1212 801 y Fz(')p Fx(\)\()p Fz(\025;)c(!)s Fx(\))24 b(:=)1637 684 y Fq(\022)1708 745 y Fx(\()p Fz(h)1788 709 y Fs(\000)p Fv(1)1788 767 y(0)1877 745 y Fx(\()p Fz(\025)p Fx(\)\))2021 715 y Ft(d)p Fs(\000)p Fv(1)p 1708 782 439 4 v 1727 865 a Fz(h)1775 836 y Fs(0)1775 887 y Fv(0)1812 865 y Fx(\()p Fz(h)1892 829 y Fs(\000)p Fv(1)1892 887 y(0)1981 865 y Fx(\()p Fz(\025)p Fx(\)\))2156 684 y Fq(\023)2217 701 y Fv(1)p Ft(=)p Fv(2)2321 801 y Fx(\()p Fo(F)11 b Fz(')p Fx(\))2524 734 y Fq(\000)2564 801 y Fz(h)2612 766 y Fs(\000)p Fv(1)2612 823 y(0)2701 801 y Fx(\()p Fz(\025)p Fx(\))p Fz(!)2868 734 y Fq(\001)3267 801 y FA(\(3.20\))515 1016 y Fl(for)20 b(eac)o(h)g Fz(')j Fy(2)g(H)q Fx(\()p Fz(X)7 b Fx(\))p Fl(,)21 b Fz(\025)i Fy(2)h Fz(h)1415 1028 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Fq(\012)1694 1730 y Fx(\()p Fo(U)1792 1742 y Fv(0)1830 1730 y Fz(')p Fx(\)\()p Fz(\025;)14 b Fy(\001)p Fx(\))p Fz(;)g Fy(\000)p Fx(2)p Fz(i)2285 1690 y Fv(d\()p Ff(U)2402 1698 y Fr(0)2435 1690 y Ft(\036)p Fv(\))p 2285 1711 216 4 v 2355 1759 a(d)p Ft(\025)2510 1730 y Fx(\()p Fz(\025;)g Fy(\001)p Fx(\))2682 1663 y Fq(\013)2723 1764 y Fe(L)2750 1747 y Fr(2)2782 1764 y Fv(\()p Fp(S)2840 1747 y Fn(d)p Fm(\000)p Fr(1)2948 1764 y Fv(\))2978 1730 y Fz(;)266 b FA(\(3.22\))515 1985 y Fl(wher)m(e)765 1952 y Fv(d)p 745 1966 77 4 v 745 2014 a(d)p Ft(\025)852 1985 y Fl(denotes)19 b(the)i(distrib)n(utional)e(derivative)o(.)704 2161 y FA(Note)25 b(that)h(F)o(ormula)e(\(3.21\))f(\(or)i(the)g(f)o(act)h (that)f Fz(h)2172 2126 y Fs(\000)p Fv(1)2172 2183 y(0)2261 2161 y Fx(\()p Fz(\024)2341 2173 y Fv(0)2379 2161 y Fx(\))h FA(has)f(measure)g(zero\))g(implies)g(that)515 2261 y Fz(h)p Fx(\()p Fz(P)12 b Fx(\))25 b(=)g Fz(h)855 2273 y Fv(0)892 2261 y Fx(\()p Fy(j)p Fz(P)12 b Fy(j)p Fx(\))23 b 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b(completeness)f(of)h Fz(W)1273 1695 y Fs(\006)1329 1683 y FA(,)h(and)f(the)g(f)o(act)g(that)g Fz(')k Fy(2)f(H)2149 1695 y Fv(ac)2216 1683 y Fx(\()p Fz(H)2317 1695 y Fv(0)2355 1683 y Fx(\))p FA(,)d(we)h(obtain)e(the)h(estimates)652 1792 y Fq(\014)652 1842 y(\014)652 1891 y(\014)679 1817 y(\015)679 1866 y(\015)726 1887 y Fz(f)9 b Fx(\()p Fz(Q=r)r Fx(\))987 1853 y Fv(1)p Ft(=)p Fv(2)1105 1884 y Fx(e)1142 1853 y Fs(\000)p Ft(itH)1319 1887 y Fz(W)1397 1899 y Fs(\000)1453 1887 y Fz(')1507 1817 y Fq(\015)1507 1866 y(\015)1554 1837 y Fv(2)1610 1887 y Fy(\000)1693 1817 y Fq(\015)1693 1866 y(\015)1739 1887 y Fz(f)g Fx(\()p Fz(Q=r)r Fx(\))2000 1853 y Fv(1)p Ft(=)p Fv(2)2118 1884 y Fx(e)2155 1853 y Fs(\000)p Ft(itH)2309 1861 y Fr(0)2360 1887 y Fz(')2414 1817 y Fq(\015)2414 1866 y(\015)2461 1837 y Fv(2)2498 1792 y Fq(\014)2498 1842 y(\014)2498 1891 y(\014)2549 1887 y Fy(\024)22 b Fx(Const)p Fz(:)14 b(g)2926 1899 y Fs(\000)2981 1887 y Fx(\()p Fz(t)p Fx(\))g Fy(k)p Fz(')p Fy(k)81 b FA(\(4.5\))596 1974 y Fq(\014)596 2024 y(\014)596 2074 y(\014)624 1999 y(\015)624 2049 y(\015)670 2070 y Fz(f)9 b Fx(\()p Fz(Q=r)r Fx(\))931 2036 y Fv(1)p Ft(=)p Fv(2)1049 2067 y Fx(e)1086 2036 y Fs(\000)p Ft(itH)1263 2070 y Fz(W)1341 2082 y Fs(\000)1398 2070 y Fz(')1452 1999 y Fq(\015)1452 2049 y(\015)1498 2020 y Fv(2)1554 2070 y Fy(\000)1637 1999 y Fq(\015)1637 2049 y(\015)1683 2070 y Fz(f)g Fx(\()p Fz(Q=r)r Fx(\))1944 2036 y Fv(1)p Ft(=)p Fv(2)2062 2067 y Fx(e)2099 2036 y Fs(\000)p Ft(itH)2253 2044 y Fr(0)2304 2070 y Fz(S)c(')2414 1999 y Fq(\015)2414 2049 y(\015)2461 2020 y Fv(2)2498 1974 y Fq(\014)2498 2024 y(\014)2498 2074 y(\014)2549 2070 y Fy(\024)22 b Fx(Const)p Fz(:)14 b(g)2926 2082 y Fv(+)2980 2070 y Fx(\()p Fz(t)p Fx(\))g Fy(k)p Fz(')p Fy(k)p Fz(;)59 b FA(\(4.6\))515 2269 y(where)720 2448 y Fz(g)760 2460 y Fs(\000)816 2448 y Fx(\()p Fz(t)p Fx(\))24 b(:=)1044 2378 y Fq(\015)1044 2427 y(\015)1091 2448 y Fx(\()p Fz(W)1201 2460 y Fs(\000)1276 2448 y Fy(\000)18 b Fx(1\))1447 2445 y(e)1483 2414 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y(\015)2291 3862 y Fy(\024)23 b Fx(Const)p Fz(:)9 b Fy(j)p Fz(\034)g Fy(j)2715 3828 y Fs(\000)p Ft(\020)2806 3862 y Fz(:)515 4023 y FA(Since)20 b Fz(\020)29 b(>)23 b Fx(2)p FA(,)d(this)h(implies)f (\(5.14\))n(,)g(and)g(thus)g(\(5.12\))n(.)g(The)g(proof)f(of)g (\(5.13\))g(is)i(similar)-5 b(.)p 3407 4023 V 3411 3970 50 4 v 3411 4023 V 3460 4023 4 57 v 704 4184 a(In)17 b(the)g(ne)o(xt)g(theorem)f(we)h(pro)o(v)o(e)f(F)o(ormula)g(\(5.6\))f (for)i(Hamiltonians)f Fz(H)25 b FA(satisfying)17 b(Assump-)515 4284 y(tion)j(5.8)f(with)i Fz(\026)i Fy(\025)f Fx(5)p FA(.)p Black 515 4432 a Fk(Theor)o(em)f(5.14.)p Black 40 w Fl(Let)g Fz(f)33 b Fy(\025)25 b Fx(0)c Fl(satisfy)g(Assumption)f (5.2,)g(and)g(let)i Fz(H)28 b Fl(satisfy)22 b(Assumption)e(5.8)g(with) 515 4532 y Fz(\026)j Fy(\025)f Fx(5)p Fl(.)e(Then)g(one)g(has)g(for)h (eac)o(h)e Fz(')k Fy(2)h Fo(D)1744 4502 y Fv(3)1781 4532 y Fx(\()p Fu(R)p Fx(\))d Fl(the)f(identity)1042 4734 y Fx(lim)1018 4784 y Ft(r)r Fs(!1)1196 4734 y Fz(\034)1241 4700 y 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y(are)j(satis\002ed,)h(and)e(so)i(the)f(claim)g (is)h(pro)o(v)o(ed.)p 3407 722 4 57 v 3411 670 50 4 v 3411 722 V 3460 722 4 57 v 515 1002 a FJ(Ackno)o(wledgements)515 1188 y FA(The)16 b(author)g(thanks)g(the)h(Swiss)h(National)e(Science)h (F)o(oundation)d(for)i(\002nancial)h(support.)e(This)i(w)o(ork)515 1288 y(w)o(as)28 b(completed)e(while)i(the)f(author)f(w)o(as)j (visiting)e(the)g(Uni)n(v)o(ersity)g(of)g(Chile.)g(He)h(w)o(ould)f(lik) o(e)h(to)515 1387 y(thank)19 b(Professor)g(M.)i(M)5 b(\013)-33 b(antoiu)19 b(for)g(his)i(kind)e(hospitality)-5 b(.)515 1667 y FJ(A)m(ppendix)515 1853 y FA(W)e(e)26 b(collect)f(in)g(this)h (appendix)d(some)h(f)o(acts)i(on)f(the)g(restriction)f(operator)f Fz(\015)5 b Fx(\()p Fz(\034)k Fx(\))26 b FA(of)f(Lemma)f(5.11.)515 1953 y(W)-7 b(e)21 b(consider)e(the)h(general)f(case)i(with)f (con\002gurations)e(space)i Fu(R)2426 1923 y Ft(d)2465 1953 y FA(,)h Fz(d)i Fy(\025)f Fx(1)p FA(.)704 2052 y(Gi)n(v)o(en)d Fz(\034)33 b Fy(2)24 b Fu(R)p FA(,)c(we)h(let)g Fz(\015)5 b Fx(\()p Fz(\034)k Fx(\))24 b(:)f Fo(S)16 b Fx(\()p Fu(R)1802 2022 y Ft(d)1841 2052 y Fx(\))24 b Fy(!)f Fw(L)2040 2022 y Fv(2)2078 2052 y Fx(\()p Fu(R)2170 2022 y Ft(d)p Fs(\000)p Fv(1)2293 2052 y Fx(\))f FA(be)e(the)g(restriction)g (operator)e(de\002ned)515 2152 y(by)32 b Fz(\015)5 b Fx(\()p Fz(\034)k Fx(\))p Fz(')46 b Fx(:=)f Fz(')p Fx(\()p Fz(\034)5 b(;)14 b Fy(\001)p Fx(\))p FA(.)34 b(W)-7 b(e)33 b(kno)n(w)e(from)g([27)o(,)i(Thm.)e(2.4.2])f(that)j Fz(\015)5 b Fx(\()p Fz(\034)k Fx(\))33 b FA(e)o(xtends)f(uniquely)e(to)515 2252 y(an)h(element)f(of)h Fo(B)1098 2184 y Fq(\000)1137 2252 y Fy(H)1208 2221 y Ft(s)1243 2252 y Fx(\()p Fu(R)1335 2221 y Ft(d)1374 2252 y Fx(\))p Fz(;)14 b Fw(L)1480 2221 y Fv(2)1518 2252 y Fx(\()p Fu(R)1610 2221 y Ft(d)p Fs(\000)p Fv(1)1734 2252 y Fx(\))1766 2184 y Fq(\001)1836 2252 y FA(for)30 b(each)h Fz(s)43 b(>)f Fx(1)p Fz(=)p Fx(2)p FA(.)30 b(Furthermore)f Fz(\015)5 b Fx(\()p Fz(\034)k Fx(\))32 b FA(is)g(H)7 b(\250)-35 b(older)515 2351 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2627 y Fz(;)3032 2594 y Fv(3)p 3032 2608 V 3032 2655 a(2)3075 2560 y Fq(\001)3113 2627 y Fz(;)1872 2746 y Fy(j)p Fz(\034)28 b Fy(\000)18 b Fz(\034)2087 2716 y Fs(0)2111 2746 y Fy(j)h(\001)f(j)c Fx(ln)g Fy(j)p Fz(\034)28 b Fy(\000)18 b Fz(\034)2529 2716 y Fs(0)2553 2746 y Fy(jj)84 b FA(if)20 b Fz(s)j Fx(=)2914 2714 y Fv(3)p 2914 2728 V 2914 2775 a(2)2977 2746 y FA(and)d Fy(j)p Fz(\034)28 b Fy(\000)18 b Fz(\034)3333 2716 y Fs(0)3357 2746 y Fy(j)23 b Fz(<)3501 2714 y Fv(1)p 3501 2728 V 3501 2775 a(2)3544 2746 y Fz(;)1872 2866 y Fy(j)p Fz(\034)28 b Fy(\000)18 b Fz(\034)2087 2836 y Fs(0)2111 2866 y Fy(j)549 b FA(if)20 b Fz(s)j(>)2914 2833 y Fv(3)p 2914 2847 V 2914 2895 a(2)2957 2866 y Fz(:)3267 2967 y FA(\(5.15\))515 3066 y(Finally)d Fz(\015)5 b Fx(\()p Fz(\034)k Fx(\))21 b FA(has)g(the)f(follo)n(wing)f(dif)n (ferentiability)e(property)-5 b(.)p Black 515 3232 a Fk(Lemma)20 b(5.15.)p Black 38 w Fl(Let)f Fz(s)k(>)g(k)18 b Fx(+)1438 3200 y Fv(1)p 1438 3214 V 1438 3261 a(2)1501 3232 y Fl(with)i 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Fv(\()p Fs(H)2729 1168 y Fn(s)p Fm(\000)p Fr(1)2835 1184 y Fv(\()p Fp(R)2903 1168 y Fn(d)2937 1184 y Fv(\))p Ft(;)p Fe(L)3010 1168 y Fr(2)3042 1184 y Fv(\()p Fp(R)3110 1168 y Fn(d)p Fm(\000)p Fr(1)3218 1184 y Fv(\)\))731 1413 y Fy(\024)23 b Fx(Const)p Fz(:)13 b Fy(k)p Fz(')p Fy(k)1206 1429 y Fs(H)1263 1413 y Fn(s)1294 1429 y Fv(\()p Fp(R)1362 1413 y Fn(d)1397 1429 y Fv(\))1466 1380 y(1)p 1446 1394 V 1446 1441 a Fs(j)p Ft(\016)r Fs(j)1542 1300 y Fq(Z)1625 1320 y Fs(j)p Ft(\016)r Fs(j)1588 1488 y Fv(0)1715 1413 y Fx(d)p Fz(\030)18 b Fy(j)p Fz(\030)t Fy(j)1901 1378 y Ft(s)p Fs(\000)p Fv(3)p Ft(=)p Fv(2)731 1599 y Fy(\024)23 b Fx(Const)p Fz(:)13 b Fy(k)p Fz(')p Fy(k)1206 1616 y Fs(H)1263 1599 y Fn(s)1294 1616 y Fv(\()p Fp(R)1362 1599 y Fn(d)1397 1616 y Fv(\))1427 1599 y Fy(j)p Fz(\016)s Fy(j)1513 1565 y Ft(s)p Fs(\000)p Fv(3)p Ft(=)p Fv(2)1701 1599 y Fz(:)515 1793 y FA(Since)32 b Fo(S)16 b Fx(\()p Fu(R)912 1762 y Ft(d)951 1793 y Fx(\))33 b FA(is)g(dense)f(in)g Fy(H)1494 1762 y Ft(s)1529 1793 y Fx(\()p Fu(R)1621 1762 y Ft(d)1660 1793 y Fx(\))h FA(and)f Fw(D)p Fz(\015)49 b Fx(:)d Fu(R)f Fy(!)g Fo(B)2410 1725 y Fq(\000)2449 1793 y Fy(H)2520 1762 y Ft(s)2555 1793 y Fx(\()p Fu(R)2647 1762 y Ft(d)2686 1793 y Fx(\))p Fz(;)14 b Fw(L)2792 1762 y Fv(2)2830 1793 y Fx(\()p Fu(R)2922 1762 y Ft(d)p Fs(\000)p Fv(1)3046 1793 y Fx(\))3078 1725 y Fq(\001)3149 1793 y FA(is)33 b(H)7 b(\250)-35 b(older)515 1892 y(continuous,)21 b(this)i(pro)o(v)o(es)f(the)h(result)g(for)f Fz(k)31 b Fx(=)d(1)p FA(.)23 b(The)g(result)g(for)g Fz(k)31 b(>)d Fx(1)23 b FA(follo)n(ws)g(then)f(easily)h(by)515 1992 y(using)c(the)i(e)o(xpression)d(for)i Fx(\()p Fw(D)p Fz(\015)5 b Fx(\)\()p Fz(\034)k Fx(\))p FA(.)p 3407 1992 4 57 v 3411 1939 50 4 v 3411 1992 V 3460 1992 4 57 v 515 2272 a FJ(Refer)n(ences)p Black 556 2458 a FA([1])p Black 41 w(P)-9 b(.)18 b(Alsholm)g(and)g(T)-6 b(.)18 b(Kato.)25 b(Scattering)17 b(with)i(long)e(range)g(potentials.)25 b(In)18 b Fl(P)-7 b(artial)18 b(dif)o(fer)m(ential)695 2557 y(equations)g(\(Pr)l(oc.)j(Sympos.)e(Pur)m(e)h(Math.,)g(V)-9 b(ol.)20 b(XXIII,)f(Univ)-6 b(.)20 b(California,)g(Berk)o(ele)n(y)-5 b(,)20 b(Calif)o(.,)695 2657 y(1971\))p FA(,)e(pages)i(393\226399.)d (Amer)-5 b(.)20 b(Math.)f(Soc.,)h(Pro)o(vidence,)e(R.I.,)i(1973.)p Black 556 2823 a([2])p Black 41 w(W)-8 b(.)28 b(O.)g(Amrein,)e(A.)i (Boutet)g(de)f(Mon)m(v)o(el,)f(and)h(V)-11 b(.)28 b(Geor)o(gescu.)50 b Fz(C)2725 2835 y Fv(0)2763 2823 y Fl(-gr)l(oups,)26 b(commutator)695 2922 y(methods)f(and)g(spectr)o(al)h(theory)g(of)g Fz(N)9 b Fl(-body)25 b(Hamiltonians)p FA(,)f(v)n(olume)h(135)g(of)h Fl(Pr)l(o)o(gr)m(ess)h(in)695 3022 y(Math.)h FA(Birkh)5 b(\250)-33 b(auser)m(,)19 b(Basel,)i(1996.)p Black 556 3188 a([3])p Black 41 w(W)-8 b(.)20 b(O.)g(Amrein)f(and)h(M.)f(B.)i (Cibils.)29 b(Global)19 b(and)h(Eisenb)n(ud-Wigner)d(time)j(delay)f(in) h(scatter)n(-)695 3288 y(ing)f(theory)-5 b(.)28 b Fl(Helv)-6 b(.)20 b(Phys.)g(Acta)p FA(,)f(60:481\226500,)e(1987.)p Black 556 3454 a([4])p Black 41 w(W)-8 b(.)21 b(O.)f(Amrein,)g(M.)g(B.) h(Cibils,)g(and)f(K.)h(B.)g(Sinha.)29 b(Con\002guration)18 b(space)i(properties)f(of)h(the)695 3553 y Fz(S)5 b FA(-matrix)19 b(and)h(time)h(delay)f(in)g(potential)g(scattering.)30 b Fl(Ann.)19 b(Inst.)i(Henri)g(P)-7 b(oincar)3122 3554 y(\264)3118 3553 y(e)p FA(,)19 b(47:367\226)695 3653 y(382,)g(1987.)p Black 556 3819 a([5])p Black 41 w(W)-8 b(.)25 b(O.)g(Amrein)e(and)h(Ph.)h(Jacquet.)42 b(T)m(ime)24 b(delay)g(for)g(one-dimensional)d(quantum)i(systems)695 3919 y(with)d(steplik)o(e)g(potentials.)29 b Fl(Phys.)20 b(Re)o(v)-6 b(.)19 b(A)p FA(,)h(75\(2\):022106,)c(2007.)p Black 556 4085 a([6])p Black 41 w(W)-8 b(.)20 b(O.)g(Amrein,)e(J.)i(M.) g(Jauch,)f(and)g(K.)h(B.)g(Sinha.)27 b Fl(Scattering)18 b(theory)i(in)f(quantum)f(mec)o(han-)695 4184 y(ics)p FA(.)29 b(Benjamin,)20 b(Reading,)f(1977.)p Black 556 4350 a([7])p Black 41 w(W)-8 b(.)24 b(O.)f(Amrein)g(and)g(K.)g(B.)h (Sinha.)39 b(T)m(ime)23 b(delay)f(and)h(resonances)f(in)i(potential)e (scattering.)695 4450 y Fl(J)n(.)e(Phys.)g(A)p FA(,)g (39\(29\):9231\2269254)o(,)15 b(2006.)p Black 556 4616 a([8])p Black 41 w(D.)28 b(Boll)5 b(\264)-33 b(e,)28 b(F)-7 b(.)28 b(Gesztesy)-5 b(,)28 b(and)f(H.)h(Grosse.)54 b(T)m(ime)27 b(delay)g(for)h(long-range)d(interactions.)52 b Fl(J)n(.)695 4716 y(Math.)19 b(Phys.)p FA(,)h(24\(6\):1529\2261541)o (,)15 b(1983.)p Black 1950 5059 a(30)p Black eop end %%Page: 31 31 TeXDict begin 31 30 bop Black Black Black 556 523 a FA([9])p Black 41 w(D.)32 b(Boll)5 b(\264)-33 b(e)33 b(and)e(T)-6 b(.)32 b(A.)h(Osborn.)66 b(T)m(ime)33 b(delay)e(in)h Fz(N)9 b FA(-body)31 b(scattering.)67 b Fl(J)n(.)32 b(Math.)g(Phys.)p FA(,)695 623 y(20:1121\2261134,)15 b(1979.)p Black 515 789 a([10])p Black 40 w(V)-11 b(.)33 b(Buslae)n(v)f(and)g(Pushnitski)h (A.)69 b(The)32 b(scattering)g(matrix)g(and)g(associated)h(formulas)e (in)695 888 y(hamiltonian)18 b(mechanics.)28 b(preprint)19 b(on)g Fa(arXiv:0805.4172)p FA(.)p Black 515 1054 a([11])p Black 40 w(V)-11 b(.)30 b(S.)h(Buslae)n(v)-5 b(.)61 b(Spectral)30 b(identities)h(and)e(the)i(trace)f(formula)f(in)h(the)h(Friedrichs)e (model.)695 1154 y(In)e Fl(Spectr)o(al)f(theory)h(and)f(wave)i(pr)l (ocesses)p FA(,)f(pages)g(43\22654.)e(Consultants)i(Bureau)g(Plenum)695 1254 y(Publishing)19 b(Corporation,)e(Ne)n(w)k(Y)-9 b(ork,)19 b(1971.)p Black 515 1420 a([12])p Black 40 w(C.)k(A.)f(A.)h(de)f(Carv)n (alho)g(and)f(H.)i(M.)g(Nussenzv)o(eig.)34 b(T)m(ime)23 b(delay)-5 b(.)35 b Fl(Phys.)22 b(Rep.)p FA(,)g(364\(2\):83\226)695 1519 y(174,)d(2002.)p Black 515 1685 a([13])p Black 40 w(T)-6 b(.)22 b(Dre)o(yfus.)35 b(The)22 b(determinant)f(of)h(the)g (scattering)g(matrix)g(and)g(its)h(relation)f(to)g(the)h(number)695 1785 y(of)c(eigen)m(v)n(alues.)28 b Fl(J)n(.)20 b(Math.)g(Anal.)f (Appl.)p FA(,)g(64\(1\):114\226134,)c(1978.)p Black 515 1951 a([14])p Black 40 w(E.)i(M.)h(Dyn)1041 1921 y Fs(0)1063 1951 y FA(kin,)f(S.)h(N.)f(Nabok)o(o,)f(and)h(S.)h(I.)f(Y)-8 b(ak)o(o)o(vle)n(v)j(.)21 b(A)d(\002niteness)f(bound)f(for)h(the)g (singular)695 2051 y(spectrum)i(in)h(a)h(self)o(adjoint)e(Friedrichs)g (model.)29 b Fl(Alg)o(ebr)o(a)19 b(i)i(Analiz)p FA(,)e (3\(2\):77\22690,)e(1991.)p Black 515 2217 a([15])p Black 40 w(L.)23 b(D.)g(F)o(addee)n(v)-5 b(.)37 b(On)23 b(a)h(model)e(of)h (Friedrichs)g(in)g(the)g(theory)f(of)h(perturbations)e(of)i(the)g(con-) 695 2316 y(tinuous)c(spectrum.)28 b Fl(T)-5 b(rudy)20 b(Mat.)h(Inst.)f(Steklo)o(v)p FA(,)f(73:292\226313,)d(1964.)p Black 515 2482 a([16])p Black 40 w(K.)32 b(Friedrichs.)1251 2464 y(\250)1235 2482 y(Uber)g(die)g(Spektralzerle)o(gung)d(eines)k (Inte)o(graloperators.)64 b Fl(Math.)32 b(Ann.)p FA(,)695 2582 y(115\(1\):249\226272,)14 b(1938.)p Black 515 2748 a([17])p Black 40 w(C.)19 b(G)5 b(\264)-33 b(erard)18 b(and)g(R.)h(T)m(iedra)f(de)h(Aldecoa.)25 b(Generalized)17 b(de\002nition)h(of)g(time)h(delay)f(in)h(scatter)n(-)695 2848 y(ing)g(theory)-5 b(.)28 b Fl(J)n(.)20 b(Math.)g(Phys.)p FA(,)g(page)f(122101,)f(2007.)p Black 515 3014 a([18])p Black 40 w(M.)h(A.)g(Grubb)f(and)h(D.)g(B.)h(Pearson.)26 b(Deri)n(v)n(ation)18 b(of)h(the)g(w)o(a)n(v)o(e)g(and)g(scattering)f (operators)g(for)695 3113 y(an)i(interaction)f(of)g(rank)h(one.)28 b Fl(J)n(.)21 b(Mathematical)d(Phys.)p FA(,)i(11:2415\2262424,)15 b(1970.)p Black 515 3279 a([19])p Black 40 w(K.)22 b(Gustafson)g(and)f (K.)i(Sinha.)35 b(On)22 b(the)h(Eisenb)n(ud-Wigner)c(formula)i(for)h (time-delay)-5 b(.)34 b Fl(Lett.)695 3379 y(Math.)19 b(Phys.)p FA(,)h(4\(5\):381\226385,)15 b(1980.)p Black 515 3545 a([20])p Black 40 w(Lars)30 b(H)7 b(\250)-35 b(ormander)-5 b(.)61 b Fl(The)30 b(analysis)h(of)f(linear)h(partial)f (dif)o(fer)m(ential)g(oper)o(ator)o(s.)g(I)p FA(,)g(v)n(olume)695 3645 y(256)23 b(of)h Fl(Grundlehr)m(en)e(der)i(Mathematisc)o(hen)f(W)-5 b(issensc)o(haften)23 b([Fundamental)f(Principles)695 3744 y(of)g(Mathematical)f(Sciences])p FA(.)36 b(Springer)n(-V)-9 b(erlag,)20 b(Berlin,)i(1983.)35 b(Distrib)n(ution)21 b(theory)h(and)695 3844 y(F)o(ourier)c(analysis.)p Black 515 4010 a([21])p Black 40 w(Lars)24 b(H)7 b(\250)-35 b(ormander)-5 b(.)42 b Fl(The)25 b(analysis)f(of)h(linear)g(partial)f (dif)o(fer)m(ential)g(oper)o(ator)o(s.)g(II)p FA(.)43 b(Classics)695 4110 y(in)20 b(Mathematics.)f(Springer)n(-V)-9 b(erlag,)18 b(Berlin,)i(2005.)28 b(Dif)n(ferential)19 b(operators)f(with)j(constant)695 4209 y(coef)n(\002cients,)e(Reprint)h (of)f(the)i(1983)d(original.)p Black 515 4375 a([22])p Black 40 w(J.)j(M.)h(Jauch,)f(R.)h(La)n(vine,)e(and)h(R.)h(G.)f(Ne)n (wton.)32 b(Scattering)21 b(into)g(cones.)32 b Fl(Helv)-6 b(.)22 b(Phys.)f(Acta)p FA(,)695 4475 y(45:325\226330,)16 b(1972/73.)p Black 515 4641 a([23])p Black 40 w(J.)j(M.)f(Jauch,)g(K.)h (B.)g(Sinha,)f(and)g(B.)h(N.)f(Misra.)26 b(T)m(ime-delay)17 b(in)h(scattering)g(processes.)25 b Fl(Helv)-6 b(.)695 4741 y(Phys.)19 b(Acta)p FA(,)h(45:398\226426,)c(1972.)p Black 1950 5059 a(31)p Black eop end %%Page: 32 32 TeXDict begin 32 31 bop Black Black Black 515 523 a FA([24])p Black 40 w(A.)16 b(Jensen.)k(T)m(ime-delay)14 b(in)i(potential)f (scattering)g(theory)-5 b(.)18 b Fl(Commun.)d(Math.)h(Phys.)p FA(,)f(82:435\226)695 623 y(456,)k(1981.)p Black 515 789 a([25])p Black 40 w(A.)26 b(Jensen,)g(E.)g(Mourre,)f(and)g(P)-9 b(.)27 b(Perry)-5 b(.)47 b(Multiple)26 b(commutator)e(estimates)j(and)e (resolv)o(ent)695 888 y(smoothness)33 b(in)h(quantum)f(scattering)h (theory)-5 b(.)72 b Fl(Ann.)33 b(Inst.)i(H.)f(P)-7 b(oincar)2953 889 y(\264)2949 888 y(e)34 b(Phys.)g(Th)3329 889 y(\264)3325 888 y(eor)-9 b(.)p FA(,)695 988 y(41\(2\):207\226225,)15 b(1984.)p Black 515 1154 a([26])p Black 40 w(A.)24 b(Jensen)h(and)f(S.) g(Nakamura.)41 b(Mapping)23 b(properties)g(of)h(w)o(a)n(v)o(e)h(and)f (scattering)g(operators)695 1254 y(for)19 b(tw)o(o-body)f(Schr)7 b(\250)-35 b(odinger)18 b(operators.)27 b Fl(Lett.)21 b(Math.)f(Phys.)p FA(,)g(24:295\226305,)c(1992.)p Black 515 1420 a([27])p Black 40 w(S.)31 b(T)-6 b(.)30 b(K)o(uroda.)60 b Fl(An)31 b(intr)l(oduction)d(to)j(scattering)f(theory)p FA(,)g(v)n(olume)f(51)i(of)f Fl(Lectur)m(e)g(Notes)695 1519 y(Series)p FA(.)f(Aarhus)20 b(Uni)n(v)o(ersitet)f(Matematisk)h (Institut,)g(Aarhus,)f(1978.)p Black 515 1685 a([28])p Black 40 w(S.)32 b(Lang.)65 b Fl(Real)32 b(analysis)p FA(.)66 b(Addison-W)-7 b(esle)o(y)30 b(Publishing)h(Compan)o(y)f(Adv)n (anced)g(Book)695 1785 y(Program,)18 b(Reading,)h(MA,)h(second)g (edition,)f(1983.)p Black 515 1951 a([29])p Black 40 w(P)-9 b(.)22 b(A.)g(Martin.)34 b(Scattering)21 b(theory)g(with)h (dissipati)n(v)o(e)f(interactions)g(and)h(time)g(delay)-5 b(.)34 b Fl(Nuo)o(vo)695 2051 y(Cimento)20 b(B)p FA(,)g(30:217\226238,) c(1975.)p Black 515 2217 a([30])p Black 40 w(P)-9 b(.)22 b(A.)g(Martin.)34 b(On)22 b(the)g(time-delay)f(of)h(simple)f (scattering)h(systems.)35 b Fl(Comm.)22 b(Math.)g(Phys.)p FA(,)695 2316 y(47\(3\):221\226227,)15 b(1976.)p Black 515 2482 a([31])p Black 40 w(P)-9 b(.)28 b(A.)g(Martin.)52 b(T)m(ime)28 b(delay)f(in)h(quantum)e(scattering)h(processes.)53 b Fl(Acta)28 b(Phys.)f(A)n(ustriaca)695 2582 y(Suppl.,)18 b(XXIII)p FA(,)h(pages)h(157\226208,)d(1981.)p Black 515 2748 a([32])p Black 40 w(A.)25 b(Mohapatra,)f(K.)h(B.)h(Sinha,)f (and)g(W)-8 b(.)26 b(O.)g(Amrein.)45 b(Con\002guration)23 b(space)i(properties)f(of)695 2848 y(the)j(scattering)h(operator)e(and) h(time)h(delay)f(for)g(potentials)g(decaying)f(lik)o(e)i Fy(j)p Fz(x)p Fy(j)3062 2818 y Fs(\000)p Ft(\013)3162 2848 y Fz(;)g(\013)38 b(>)e Fx(1)p FA(.)695 2947 y Fl(Ann.)19 b(Inst.)h(H.)g(P)-7 b(oincar)1403 2948 y(\264)1399 2947 y(e)20 b(Phys.)g(Th)1751 2948 y(\264)1747 2947 y(eor)-9 b(.)p FA(,)19 b(57\(1\):89\226113,)d(1992.)p Black 515 3113 a([33])p Black 40 w(S.)22 b(Nakamura.)32 b(T)m(ime-delay)20 b(and)h(La)n(vine')-5 b(s)22 b(formula.)32 b Fl(Comm.)22 b(Math.)f(Phys.)p FA(,)g(109\(3\):397\226)695 3213 y(415,)e(1987.)p Black 515 3379 a([34])p Black 40 w(H.)d(Narnhofer)-5 b(.)18 b(T)m(ime)e(delay)f(and)h(dilation)f(properties)g(in)h (scattering)f(theory)-5 b(.)19 b Fl(J)n(.)d(Math.)g(Phys.)p FA(,)695 3479 y(25\(4\):987\226991,)f(1984.)p Black 515 3645 a([35])p Black 40 w(A.)26 b(E.)g(Oganjan.)46 b(The)25 b(virial)h(theorem)f(and)g(the)h(trace)g(formula)e(in)i(the)g (Friedrichs)f(model.)695 3744 y(In)30 b Fl(Mathematical)g(analysis)h (and)f(pr)l(obability)g(theory)g(\(Russian\))p FA(,)g(pages)g (127\226131,)e(218.)695 3844 y(\223Nauk)o(o)o(v)n(a)18 b(Dumka\224,)h(Kie)n(v)-5 b(,)19 b(1978.)p Black 515 4010 a([36])p Black 40 w(M.)24 b(Reed)h(and)f(B.)h(Simon.)42 b Fl(Methods)24 b(of)h(modern)e(mathematical)g(physics.)i(III)p FA(.)42 b(Academic)695 4110 y(Press)21 b([Harcourt)d(Brace)i(Jo)o(v)n (ano)o(vich)e(Publishers],)h(Ne)n(w)h(Y)-9 b(ork,)19 b(1979.)28 b(Scattering)19 b(theory)-5 b(.)p Black 515 4276 a([37])p Black 40 w(M.)28 b(Reed)g(and)g(B.)g(Simon.)54 b Fl(Methods)28 b(of)g(modern)f(mathematical)g(physics.)g(I)p FA(.)55 b(Academic)695 4375 y(Press)18 b(Inc.)f([Harcourt)f(Brace)h(Jo) o(v)n(ano)o(vich)e(Publishers],)h(Ne)n(w)i(Y)-9 b(ork,)17 b(second)f(edition,)h(1980.)695 4475 y(Functional)h(analysis.)p Black 515 4641 a([38])p Black 40 w(D.)k(Robert.)35 b(Relati)n(v)o(e)22 b(time-delay)e(for)i(perturbations)e(of)h(elliptic)i(operators)d(and)i (semiclas-)695 4741 y(sical)e(asymptotics.)29 b Fl(J)n(.)20 b(Funct.)f(Anal.)p FA(,)g(126\(1\):36\22682,)d(1994.)p Black 1950 5059 a(32)p Black eop end %%Page: 33 33 TeXDict begin 33 32 bop Black Black Black 515 523 a FA([39])p Black 40 w(D.)16 b(Robert)f(and)g(X.)h(P)-9 b(.)16 b(W)-7 b(ang.)20 b(Existence)15 b(of)g(time-delay)f(operators)h(for)g(Stark)g (Hamiltonians.)695 623 y Fl(Comm.)20 b(P)-7 b(artial)20 b(Dif)o(fer)m(ential)g(Equations)p FA(,)e(14\(1\):63\22698,)e(1989.)p Black 515 789 a([40])p Black 40 w(D.)21 b(W)-8 b(.)22 b(Robinson.)31 b(Propagation)18 b(properties)i(in)h(scattering)f (theory)-5 b(.)30 b Fl(J)n(.)21 b(A)n(ustr)o(al.)g(Math.)g(Soc.)695 888 y(Ser)-9 b(.)20 b(B)p FA(,)g(21\(4\):474\226485,)15 b(1979/80.)p Black 515 1054 a([41])p Black 40 w(J.)31 b(Sahbani.)61 b(The)30 b(conjugate)e(operator)h(method)g(for)h(locally) g(re)o(gular)f(Hamiltonians.)61 b Fl(J)n(.)695 1154 y(Oper)o(ator)19 b(Theory)p FA(,)h(38\(2\):297\226322,)15 b(1997.)p Black 515 1320 a([42])p Black 40 w(J.)20 b(Sahbani.)28 b(Propagation)18 b(theorems)h(for)g(some)h(classes)i(of)d(pseudo-dif)n(ferential)e (operators.)695 1420 y Fl(J)n(.)j(Math.)g(Anal.)f(Appl.)p FA(,)g(211\(2\):481\226497,)c(1997.)p Black 515 1586 a([43])p Black 40 w(M.)j(Sassoli)i(de)f(Bianchi)f(and)g(P)-9 b(.)19 b(A.)g(Martin.)26 b(On)18 b(the)h(de\002nition)e(of)i(time)g (delay)f(in)h(scattering)695 1685 y(theory)-5 b(.)27 b Fl(Helv)-6 b(.)20 b(Phys.)g(Acta)p FA(,)g(65\(8\):1119\2261126)o(,)15 b(1992.)p Black 515 1851 a([44])p Black 40 w(F)-7 b(.)21 b(T)-6 b(.)20 b(Smith.)29 b(Lifetime)19 b(matrix)h(in)g(collision)g (theory)-5 b(.)27 b Fl(Phys.)20 b(Re)o(v)-6 b(.)p FA(,)20 b(118:349\226356,)15 b(1960.)p Black 515 2017 a([45])p Black 40 w(H.)22 b(T)-7 b(amura.)36 b(T)m(ime)23 b(delay)f(in)h 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