Comm. Math. Phys. 181, 631-645 (1996) [DOI: 10.1007/BF02101290]

On Isospectral Sets of Jacobi Operators

Fritz Gesztesy, Madaly Krishna, and Gerald Teschl

We consider the inverse spectral problem for a class of reflectionless bounded Jacobi operators with empty singularly continuous spectra. Our spectral hypotheses admit countably many accumulation points in the set of eigenvalues as well as in the set of boundary points of intervals of absolutely continuous spectrum. The corresponding isospectral set of Jacobi operators is explicitly determined in terms of Dirichlet-type data.

MSC91: Primary 47B39, 34B20; Secondary 34A55, 39A10
Keywords: Spectral theory, Jacobi operators, isospectral operators

TeX file (44K) or pdf file (316K)