Article

**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*

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