ON ISOSPECTRAL SETS OF JACOBI OPERATORS

Authors
GESZTESY F KRISHNA M TESCHL G
Citation
F. Gesztesy et al., ON ISOSPECTRAL SETS OF JACOBI OPERATORS, Communications in Mathematical Physics, 181(3), 1996, pp. 631-645
Citations number
36
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
181
Issue
3
Year of publication
1996
Pages
631 - 645
Database
ISI
SICI code
0010-3616(1996)181:3<631:OISOJO>2.0.ZU;2-Z
Abstract
We consider the inverse spectral problem for a class of reflectionless bounded Jacobi operators with empty singularly continuous spectra. Ou r spectral hypotheses admit countably many accumulation points in the set of eigenvalues as well as in the set of boundary points of interva ls of absolutely continuous spectrum. The corresponding isospectral se t of Jacobi operators is explicitly determined in terms of Dirichlet-t ype data.