Content-Type: multipart/mixed; boundary="-------------0406010145522" This is a multi-part message in MIME format. ---------------0406010145522 Content-Type: text/plain; name="04-173.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="04-173.keywords" nonlinear wave equations, solitons, bound states, scattering theory, nonlinear schrodinger equations ---------------0406010145522 Content-Type: application/postscript; name="bound.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="bound.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.90a Copyright 2002 Radical Eye Software %%Title: bound.dvi %%CreationDate: Mon May 31 23:06:28 2004 %%Pages: 12 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentFonts: CMR17 CMSY10 CMR12 CMBX10 CMR10 CMBX12 MSBM10 CMMI8 %%+ CMR8 CMMI10 CMSY7 CMTT10 CMEX10 CMR6 MSBM7 CMMI6 CMSY8 CMTI10 LASY10 %%+ CMSY6 CMTI12 CMTT12 CMMI12 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips.exe -P pdf -G0 -p1 -l12 bound %DVIPSParameters: dpi=8000, compressed %DVIPSSource: TeX output 2004.05.31:2246 %%BeginProcSet: tex.pro %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr 1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S /BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) (LaserWriter 16/600)]{A length product length le{A length product exch 0 exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end %%EndProcSet %%BeginProcSet: alt-rule.pro %! % Patch by TVZ % Makes dvips files draw rules with stroke rather than fill. % Makes narrow rules more predictable at low resolutions % after distilling to PDF. % May have unknown consequences for very thick rules. % Tested only with dvips 5.85(k). 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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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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMTI12 %!PS-AdobeFont-1.1: CMTI12 1.0 %%CreationDate: 1991 Aug 18 21:06:53 % 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 (CMTI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI12 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 /ff put dup 12 /fi put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 58 /colon put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 86 /V put dup 87 /W put dup 97 /a put dup 98 /b 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 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put 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%%BeginFont: CMSY6 %!PS-AdobeFont-1.1: CMSY6 1.0 %%CreationDate: 1991 Aug 15 07:21:34 % 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 (CMSY6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY6 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 /prime put readonly def /FontBBox{-4 -948 1329 786}readonly def /UniqueID 5000816 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: LASY10 %!PS-AdobeFont-1.1: LASY10 1.001 %%CreationDate: 1992 Oct 23 20:19:17 %%RevisionDate: 2001 Jun 05 20:19:17 % Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.001) readonly def /Notice (Copyright (C) 1997, 2001 American Mathematical Society. All Rights Reserved) readonly def /FullName (LASY10) readonly def /FamilyName (LaTeX) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /LASY10 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 50 /a50 put readonly def /FontBBox{-19 -192 944 683}readonly def /UniqueID 5011949 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMTI10 %!PS-AdobeFont-1.1: CMTI10 1.00B %%CreationDate: 1992 Feb 19 19:56:16 % 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 (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMTI10 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 44 /comma put dup 46 /period put dup 58 /colon put dup 65 /A put dup 73 /I put dup 76 /L put dup 78 /N put dup 83 /S put dup 84 /T put dup 87 /W put dup 97 /a put dup 98 /b 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 113 /q 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 dup 121 /y put readonly def /FontBBox{-163 -250 1146 969}readonly def /UniqueID 5000828 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMSY8 %!PS-AdobeFont-1.1: CMSY8 1.0 %%CreationDate: 1991 Aug 15 07:22:10 % 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 (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 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 33 /arrowright put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 65 /A put dup 80 /P put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueID 5000818 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI6 %!PS-AdobeFont-1.1: CMMI6 1.100 %%CreationDate: 1996 Jul 23 07:53:52 % 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 (CMMI6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI6 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 22 /mu put dup 34 /epsilon put dup 67 /C put dup 82 /R put dup 98 /b put dup 106 /j put dup 107 /k put dup 109 /m put dup 110 /n put readonly def /FontBBox{11 -250 1241 750}readonly def /UniqueID 5087381 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B 532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5 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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 78 /N put dup 82 /R put readonly def /FontBBox{0 -504 2615 1004}readonly def /UniqueID 5032014 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 43 /plus put dup 49 /one put dup 50 /two put readonly def /FontBBox{-20 -250 1193 750}readonly def /UniqueID 5000789 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMEX10 %!PS-AdobeFont-1.1: CMEX10 1.00 %%CreationDate: 1992 Jul 23 21:22:48 % Copyright (C) 1997 American Mathematical Society. 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 26 /braceleftbigg put dup 27 /bracerightbigg put dup 50 /bracketlefttp put dup 51 /bracketrighttp put dup 52 /bracketleftbt put dup 53 /bracketrightbt put dup 54 /bracketleftex put dup 55 /bracketrightex put dup 80 /summationtext put dup 82 /integraltext put dup 88 /summationdisplay put dup 90 /integraldisplay put readonly def /FontBBox{-24 -2960 1454 772}readonly def /UniqueID 5000774 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % 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 (CMR12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR12 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 1 /Delta put dup 11 /ff put dup 19 /acute put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P 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 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 93 /bracketright put dup 97 /a put dup 98 /b 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 106 /j put dup 107 /k put dup 108 /l 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 119 /w put dup 121 /y put dup 122 /z put readonly def /FontBBox{-34 -251 988 750}readonly def /UniqueID 5000794 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 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cleartomark %%EndFont %%BeginFont: CMTT10 %!PS-AdobeFont-1.1: CMTT10 1.00B %%CreationDate: 1992 Apr 26 10:42:42 % 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 (CMTT10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def end readonly def /FontName /CMTT10 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 46 /period put dup 64 /at put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 107 /k 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 116 /t put dup 117 /u put dup 118 /v put dup 121 /y put readonly def /FontBBox{-4 -235 731 800}readonly def /UniqueID 5000832 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F 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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 1 /Delta put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 35 /numbersign put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 61 /equal put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P 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 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 93 /bracketright put dup 94 /circumflex put dup 96 /quoteleft put dup 97 /a put dup 98 /b 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 106 /j put dup 107 /k put dup 108 /l 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 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 126 /tilde put dup 127 /dieresis put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 3 /asteriskmath put dup 121 /dagger put readonly def /FontBBox{-15 -951 1252 782}readonly def /UniqueID 5000817 def currentdict end currentfile eexec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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 3 /asteriskmath put dup 17 /equivalence put dup 20 /lessequal put dup 21 /greaterequal put dup 24 /similar put dup 26 /propersubset put dup 33 /arrowright put dup 49 /infinity put dup 50 /element put dup 55 /mapsto put dup 65 /A put dup 66 /B put dup 79 /O put dup 80 /P put dup 84 /T 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 dup 121 /dagger put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec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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 14 /delta put dup 21 /lambda put dup 22 /mu put dup 30 /phi put dup 31 /chi put dup 34 /epsilon put dup 39 /phi1 put dup 58 /period put dup 59 /comma put dup 60 /less 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 75 /K put dup 76 /L put dup 78 /N put dup 82 /R put dup 83 /S put dup 84 /T put dup 87 /W put dup 88 /X put dup 97 /a put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 104 /h put dup 105 /i put dup 107 /k put dup 108 /l put dup 110 /n put dup 112 /p put dup 113 /q put dup 116 /t put dup 117 /u put dup 120 /x put dup 122 /z put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % 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 (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 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 48 /zero put dup 49 /one put dup 50 /two put dup 52 /four put dup 61 /equal put dup 94 /circumflex put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % 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 (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 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 14 /delta put dup 21 /lambda put dup 22 /mu put dup 34 /epsilon put dup 39 /phi1 put dup 61 /slash put dup 66 /B put dup 67 /C put dup 72 /H put dup 75 /K put dup 76 /L put dup 78 /N put dup 82 /R put dup 84 /T put dup 88 /X put dup 98 /b put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 116 /t put dup 120 /x put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueID 5087383 def currentdict end currentfile eexec D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 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 67 /C put dup 82 /R put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 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 12 /fi put dup 46 /period put dup 49 /one put dup 50 /two put dup 51 /three put dup 65 /A put dup 68 /D put dup 69 /E put dup 78 /N put dup 80 /P put dup 84 /T put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f 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 120 /x put readonly def /FontBBox{-301 -250 1164 946}readonly def /UniqueID 5000768 def currentdict end currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMR17 %!PS-AdobeFont-1.1: CMR17 1.0 %%CreationDate: 1991 Aug 20 16:38:24 % 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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190[1128 7[747 747 1[747 747 747 747 747 747 49[{}9 1328.35 /CMBX12 rf /Fd 128[664 4[531 631 598 1[598 697 432 531 548 598 664 664 731 1063 332 598 1[399 664 598 399 598 664 598 598 664 9[1298 966 1[930 731 948 996 881 996 966 1165 815 999 1[501 966 1005 848 881 981 930 914 966 6[399 11[399 465 399 31[731 797 11[{}52 1328.35 /CMTI12 rf /Fe 207[243 48[{}1 664.176 /CMSY6 rf /Ff 205[906 50[{}1 1212.12 /LASY10 rf /Fg 134[589 562 805 1[651 403 496 511 558 620 620 681 991 310 2[372 620 558 372 558 620 558 558 620 9[1211 2[867 681 4[901 1[760 2[467 7[901 6[372 11[372 1[372 44[{}32 1212.12 /CMTI10 rf /Fh 175[658 14[752 14[627 941 255 14[941 32[732{}7 885.568 /CMSY8 rf /Fi 145[511 726 1[439 340 7[364 15[612 14[587 32[390 11[498 22[{}9 664.176 /CMMI6 rf /Fj 173[560 3[560 78[{}2 774.872 /MSBM7 rf /Fk 205[406 406 5[621 43[{}3 664.176 /CMR6 rf /Fl 165[615 1[1599 5[523 1[1168 24[738 738 738 738 738 738 22[830 830 26[{}12 1106.96 /CMEX10 rf /Fm 133[578 686 1[939 686 723 506 513 506 686 723 650 723 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1029 2[1008 953 779 2[866 919 909 644 1[943 1[943 337 337 18[793 4[565 2[758 722 7[730 707 6[539 14[{}42 1212.12 /CMMI10 rf /Fs 161[470 32[732 8[470 1[470 470 470 4[732 1[366 366 40[{}9 885.568 /CMR8 rf /Ft 135[530 3[340 2[420 474 455 571 832 281 490 381 320 542 5[403 9[774 3[548 1[709 3[747 1[640 793 2[773 4[671 710 4[470 21[613 4[434 11[566 549 6[416 14[{}28 885.568 /CMMI8 rf /Fu 173[799 14[799 67[{}2 1106.96 /MSBM10 rf /Fv 138[1196 837 849 879 2[1076 1196 1793 598 2[598 1196 1[658 982 1196 956 1[1046 12[1497 1196 1605 1[1470 6[801 21[1076 1076 1076 2[598 46[{}24 1912.83 /CMBX12 rf /Fw 128[606 606 3[539 640 640 875 640 673 471 478 475 640 673 606 673 1010 337 640 370 337 673 606 370 539 673 539 673 606 337 1[606 337 1[337 741 909 1[1246 909 909 875 673 892 1[825 943 909 1111 758 943 1[438 909 951 791 825 926 875 859 909 3[943 1[337 337 1[606 606 606 606 606 606 606 606 606 1[337 404 337 943 1[471 471 337 24[1010 673 673 707 875 8[1010 1[{}80 1212.12 /CMR10 rf /Fx 135[736 2[774 542 550 574 1[774 697 774 1162 387 2[387 774 1[426 639 774 620 774 678 12[970 3[953 1[1091 8[916 1069 2[1054 13[697 697 697 2[387 33[774 12[{}29 1212.12 /CMBX10 rf /Fy 134[824 5[616 607 3[867 1[434 824 4[477 694 867 694 1[780 14[1149 1[1062 2[1430 24[780 780 780 780 780 3[434 44[{}20 1594.02 /CMR12 rf /Fz 134[708 117[797 3[{}2 1594.02 /CMSY10 rf /FA 128[1053 4[933 3[1113 1173 813 825 813 1113 1[1053 1173 1[573 2[573 1173 1053 633 933 1173 933 1[1053 9[2191 3[1173 4[1592 8[1442 1[1533 1502 1592 65[{}26 2295.84 /CMR17 rf end %%EndProlog %%BeginSetup %%Feature: *Resolution 8000dpi TeXDict begin %%PaperSize: A4 end %%EndSetup %%Page: 1 1 TeXDict begin 1 0 bop 1640 8609 a FA(A)693 b(Characterization)f(of)i (Bound)e(States)h(of)g(Nonlinear)g(W)-180 b(a)-60 b(v)g(e)13901 12760 y(and)692 b(Sc)-60 b(hr\177)-1053 b(odinger)693 b(Equations)39399 11927 y Fz(\003)-104 b(y)22401 17700 y Fy(Randall)520 b(Pyk)-43 b(e)22423 21408 y(Ma)g(y)520 b(31,)g(2004)24330 28496 y Fx(Abstract)6066 31496 y Fw(W)-101 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7 bop 4248 1857 a Fw(where)512 b Fr(\036)8583 2054 y Ft(k)9669 1857 y Fw(=)k(lim)12811 2045 y Ft(T)131 b Fh(!1)15866 1379 y Fs(1)p 15762 1575 679 45 v 15762 2275 a Ft(T)16775 939 y Fl(R)17513 1289 y Ft(T)17298 2224 y Fs(0)18449 1857 y Fr(e)19013 1417 y Fh(\000)p Ft(i\025)20614 1573 y Fi(k)21123 1417 y Ft(t)21518 1857 y Fr(')p Fw(\()p Fr(t)p Fw(\))202 b Fr(dt)p Fw(.)862 b(The)513 b(question)f(of)g(con)-34 b(v)g(ergence)512 b(of)g(this)h(F)-101 b(ourier)4248 4115 y(series)319 b(is)h(just)h(as)f(delicate)f(as)h(for)g(p)34 b(erio)g(dic)318 b(functions.)512 b(In)320 b(general)g(though,)338 b(b)-34 b(y)320 b(re-summing)g(the)4248 6373 y(F)-101 b(ourier)487 b(series)g(of)h(an)h(almost)f(p)34 b(erio)g(dic)486 b(function)k(one)d (can)h(\014nd)h(trigonometric)f(p)34 b(olynomials)4248 8631 y(that)593 b(appro)-34 b(ximate)593 b(the)f(function)h (arbitrarily)e(w)-34 b(ell,)639 b(uniformly)592 b(in)g(time.)1102 b(More)591 b(precisely)-101 b(,)4248 10889 y(for)520 b(an)-34 b(y)521 b Fr(")530 b(>)g 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b(state.)6066 22464 y Fw(An)292 b(imp)34 b(ortan)-34 b(t)293 b(prop)34 b(ert)-34 b(y)292 b(of)f(almost)h(p)34 b(erio)g(dic)291 b(functions)i(is)e(that)i(the)f(closure)f(of)h(their)f (orbits)4248 24722 y(in)375 b(the)h(phase)g(space)g Fr(X)470 b Fw(are)375 b(compact)h([LZ].)e(F)-101 b(rom)376 b(this)f(Prop)34 b(osition)376 b(3.2)f(follo)-34 b(ws.)530 b(Con)-34 b(v)g(ersely)-101 b(,)4248 26980 y(to)523 b(pro)-34 b(v)g(e)523 b(that)h(a)f(b)34 b(ound)524 b(state)g(is)f(almost)g(p)34 b(erio)g(dic)522 b(w)-34 b(e)523 b(\014rst)g(sho)-34 b(w)524 b(that)h(the)e(closure)f (of)h(its)4248 29239 y(orbit)590 b(is)g(compact)g(under)g(a)g (regularit)-34 b(y)590 b(assumption.)1097 b(F)-101 b(or)590 b(this)h(w)-34 b(e)590 b(require)e(a)i(con)-34 b(v)g(enien)g(t)4248 31497 y(c)g(haracterization)404 b(of)g(compact)h(subsets)g(of)g(the)f (spaces)g Fr(X)95 b Fw(.)4248 35355 y Fx(Prop)39 b(osition)647 b(3.3)1124 b Fg(A)578 b(b)-62 b(ounde)g(d)577 b(subset)g Fr(K)687 b Fq(\032)599 b Fr(X)674 b Fg(has)578 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45988 y Fq(k)p 9033 45333 759 45 v Fr(\037)9791 46279 y Fi(R)10403 46390 y(")10904 45988 y Fr(')p Fq(k)12303 46176 y Ft(X)13614 45988 y Fr(<)413 b(")p Fw(.)676 b(Let)449 b Fr(R)423 b(>)413 b(R)22384 46170 y Ft(")22874 45988 y Fw(.)675 b(F)-101 b(or)450 b Fr(')413 b Fq(2)g Fr(K)537 b Fw(let)644 b(~)-800 b Fr(')413 b Fq(\021)f Fr(\037)35216 46170 y Fi(R)35887 45988 y Fr(')450 b Fw(and)p 39532 45333 793 45 v 450 w Fr(')413 b Fq(\021)p 42094 45333 759 45 v 413 w Fr(\037)42852 46279 y Fi(R)43522 45988 y Fr(')450 b Fw(where)g Fr(\037)49074 46170 y Fi(R)4248 48246 y Fw(is)433 b(a)g(smo)34 b(oth)434 b(function)h(suc)-34 b(h)434 b(that)h Fr(\037)21801 48428 y Fi(R)22857 48246 y Fq(\021)385 b Fw(1)433 b(on)h Fr(B)27856 48434 y Ft(R)28565 48545 y Fi(")29498 48246 y Fw(and)g Fr(\037)32642 48428 y Fi(R)33698 48246 y Fq(\021)386 b Fw(0)433 b(on)h Fr(B)38759 47806 y Ft(C)38698 48588 y(R)39547 48246 y Fw(,)441 b(and)p 42711 47591 V 434 w Fr(\037)43469 48537 y Fi(R)44525 48246 y Fw(=)385 b(1)289 b Fq(\000)f Fr(\037)48737 48428 y Fi(R)49408 48246 y Fw(.)4248 50504 y(W)-101 b(e)439 b(set)8621 50198 y(~)8299 50504 y Fr(K)483 b Fw(=)395 b Fq(f)194 b Fw(~)-800 b Fr(')202 b Fq(j)g Fr(')396 b Fq(2)g Fr(K)87 b Fq(g)p Fw(.)645 b(F)-101 b(or)440 b(an)-34 b(y)440 b(subset)g(\012)397 b Fq(\032)e Fu(R)30083 50064 y Ft(n)31150 50504 y Fw(let)439 b Fr(X)95 b Fw(\(\012\))441 b(denote)f(the)g(corresp)34 b(onding)4248 52762 y(Sob)g(olev)397 b(spaces)h(de\014ned)h(on)f(\012)g(\(as)h(de\014ned)f(ab)34 b(o)-34 b(v)g(e;)798 b(so)398 b(for)g(example)f Fr(X)95 b Fw(\()p Fu(R)40311 52322 y Ft(n)40938 52762 y Fw(\))337 b(=)g Fr(X)95 b Fw(\).)537 b(Since)48951 52456 y(~)48628 52762 y Fr(K)4248 55021 y Fw(is)456 b(b)34 b(ounded)458 b(in)f Fr(X)12992 55203 y Ft(\026)13613 55021 y Fw(\()p Fr(B)15003 55209 y Ft(R)15774 55021 y Fw(\))p Fr(;)658 b(\026)425 b(>)e Fw(0,)470 b(and)457 b(ev)-34 b(ery)650 b(~)-800 b Fr(')424 b Fq(2)29609 54714 y Fw(~)29287 55021 y Fr(K)543 b Fw(is)457 b(supp)34 b(orted)457 b(in)g 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b(k)194 b Fw(~)-800 b Fr(')221 b Fq(\000)g Fr(\036)17552 66509 y Ft(k)18121 66312 y Fq(k)18727 66500 y Ft(X)19846 66312 y Fw(+)g Fq(k)p 21616 65657 V Fr(')p Fq(k)23015 66500 y Ft(X)24250 66312 y Fr(<)337 b Fw(2)p Fr(")p Fw(.)530 b(Th)-34 b(us,)386 b Fq(f)p Fr(\036)32284 66494 y Fs(1)32810 66312 y Fr(;)202 b(:)g(:)g(:)f(;)h (\036)36226 66500 y Ft(N)37123 66312 y Fq(g)380 b Fw(is)f(a)h(2)p Fr(")p Fw(-net)h(for)f Fr(K)467 b Fw(in)380 b Fr(X)4248 68570 y Ff(2)6066 71628 y Fw(A)370 b(necessary)g(and)h(su\016cien)-34 b(t)371 b(condition)g(that)g Fr(K)457 b Fw(has)371 b(compact)g(closure) e(in)i Fr(X)465 b Fw(is)370 b(that)i Fr(K)457 b Fw(b)34 b(e)26671 75849 y Fm(8)p eop end %%Page: 9 9 TeXDict begin 9 8 bop 4248 1857 a Fw(uniformly)330 b(lo)34 b(calized)328 b(in)h(space)h(and)g(momen)-34 b(tum,)346 b(i.e.,)d(that)331 b(for)e(an)-34 b(y)330 b Fr(")337 b(>)g Fw(0)329 b(there)h(is)f(an)h Fr(R)46595 2039 y Ft(")47415 1857 y Fw(suc)-34 b(h)4248 4115 y(that)367 b(sup)8661 4406 y Ft(')p Fh(2)p 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67640 y([SW2])681 b(So\013er,)359 b(A.)341 b(and)f(W)-108 b(einstein,)359 b(M.I.)341 b Fd(Sele)-66 b(ction)376 b(of)j(the)g(Gr)-66 b(ound)380 b(State)e(for)h(Nonline)-66 b(ar)4248 70048 y(Schr\177)-664 b(odinger)463 b(Equations)p Fm(.)579 b(Preprin)-36 b(t)432 b(\(2003\).)4248 72456 y Fb(http://www.ma.utexas.edu/mp)p 22716 72633 684 45 v 671 w(arc-bin/mpa?yn=03-398)26346 75849 y Fm(11)p eop end %%Page: 12 12 TeXDict begin 12 11 bop 4248 1857 a Fm([TY])1570 b(Tsai,)547 b(T.-P)-108 b(.,)546 b(Y)-108 b(au,)545 b(H.-T.)524 b Fd(Asymptotic)546 b(Dynamics)g(of)h(Nonline)-66 b(ar)545 b(Schr)-66 b(o)g(dinger)4248 4264 y(Equations:)531 b(R)-66 b(esonanc)g(e)330 b(Dominating)g(and)i(R)-66 b(adiation)330 b(Dominating)g(Solutions)p Fm(.)530 b(Preprin)-36 b(t,)4248 6672 y(2000.)580 b Fb(http://www.ma.utexas.edu/mp)p 26257 6849 684 45 v 671 w(arc-bin/mpa?yn=00-413)26346 75849 y Fm(12)p eop end %%Trailer userdict /end-hook known{end-hook}if %%EOF ---------------0406010145522--