TRACE FORMULAS AND INVERSE SPECTRAL THEORY FOR SCHRODINGER-OPERATORS

Citation
F. Gesztesy et al., TRACE FORMULAS AND INVERSE SPECTRAL THEORY FOR SCHRODINGER-OPERATORS, Bulletin, new series, of the American Mathematical Society, 29(2), 1993, pp. 250-255
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
02730979
Volume
29
Issue
2
Year of publication
1993
Pages
250 - 255
Database
ISI
SICI code
0273-0979(1993)29:2<250:TFAIST>2.0.ZU;2-4
Abstract
We extend the well-known trace formula for Hill's equation to general one-dimensional Schrodinger operators. The new function xi, which we i ntroduce, is used to study absolutely continuous spectrum and inverse problems.