Dynamical inverse problem for Jacobi matrices
Abstract
We consider the inverse dynamical problem for the dynamical system with discrete time associated with the semi-infinite Jacobi matrix. We solve the inverse problem for such a system and answer a question on the characterization of the inverse data. As a by-product we give a necessary and sufficient condition for the measure on the real line line to be the spectral measure of semi-infinite discrete Schrodinger operator.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2017
- DOI:
- 10.48550/arXiv.1704.02481
- arXiv:
- arXiv:1704.02481
- Bibcode:
- 2017arXiv170402481M
- Keywords:
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- Mathematics - Spectral Theory
- E-Print:
- doi:10.3934/ipi.2019021