05-404 Luis O. Silva and Ricardo Weder

On the Two Spectra Inverse Problem for Semi-Infinite Jacobi Matrices (81K, LaTex) Nov 25, 05

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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 Schr{\"o}dinger operators in 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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