Inverse Problems for Jacobi Operators with Mixed Spectral Data

Burak Hatinoğlu

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arXiv · 1909.03356

Inverse Problems for Jacobi Operators with Mixed Spectral Data

Burak Hatinoğlu

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Abstract

We consider semi-infinite Jacobi matrices with discrete spectrum. We prove that the Jacobi operator can be uniquely recovered from one spectrum and subsets of another spectrum and norming constants corresponding to the first spectrum. We also solve this Borg-Marchenko-type problem under some conditions on two spectra, when missing part of the second spectrum and known norming constants have different index sets.

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BibTeX RIS

Burak Hatinoğlu. 2019-09-08. Inverse Problems for Jacobi Operators with Mixed Spectral Data. https://arxiv.org/abs/1909.03356

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