Inverse Problems for Jacobi Operators with Mixed Spectral Data
Spectral Theory
2023-10-25 v1 Mathematical Physics
Complex Variables
math.MP
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.
Cite
@article{arxiv.1909.03356,
title = {Inverse Problems for Jacobi Operators with Mixed Spectral Data},
author = {Burak Hatinoğlu},
journal= {arXiv preprint arXiv:1909.03356},
year = {2023}
}