 97130 Gesztesy F., Simon B.
 Inverse Spectral Analysis With Partial Information on the
Potential, II. The Case of Discrete Spectrum
(67K, AMSTeX)
Mar 17, 97

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We discuss results where the discrete spectrum (or partial
information on the discrete spectrum) and partial information
on the potential $q$ of a onedimensional Schr\"odinger
operator $H=\frac{d^2}{dx^2}+q$ determine the potential
completely. Included are theorems for finite intervals and
for the whole line. In particular, we pose and solve a new
type of inverse spectral problem involving fractions of the
eigenvalues of $H$ on a finite interval and knowledge of $q$
over a corresponding fraction of the interval. The methods
employed rest on Weyl $m$function techniques and densities
of zeros of a class of entire functions.
 Files:
97130.tex