Inverse spectral problems and closed exponential systems
成果类型：
Article
署名作者：
Horváth, M
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2005.162.885
发表日期：
2005
页码：
885-918
关键词：
摘要：
Consider the inverse eigenvalue problem of the Schrodinger operator defined on a finite interval. We give optimal and almost optimal conditions for a set of eigenvalues to determine the Schrodinger operator. These conditions are simple closedness properties of the exponential system corresponding to the known eigenvalues. The statements contain nearly all former results of this topic. We give also conditions for recovering the Weyl-Titchmarsh m-function from its values m(lambda(n)).