Author： Silva Luis
Publisher： Springer Publishing Company
ISSN： 1385-0172
Source： Mathematical Physics, Analysis and Geometry, Vol.9, Iss.3, 2006-08, pp. : 263-290
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Abstract
We present results on the unique reconstruction of a semi-infinite Jacobi operator from the spectra of the operator with two different boundary conditions. This is the discrete analogue of the Borg–Marchenko theorem for Schrödinger operators on the half-line. Furthermore, we give necessary and sufficient conditions for two real sequences to be the spectra of a Jacobi operator with different boundary conditions.
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