Dynamical inverse problem for Jacobi matrices
Spectral Theory
2019-12-19 v1
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.
Cite
@article{arxiv.1704.02481,
title = {Dynamical inverse problem for Jacobi matrices},
author = {A. S. Mikhaylov and V. S. Mikhaylov},
journal= {arXiv preprint arXiv:1704.02481},
year = {2019}
}