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arXiv · 1704.02481

Dynamical inverse problem for Jacobi matrices

A. S. Mikhaylov·V. S. Mikhaylov
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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.

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A. S. Mikhaylov, V. S. Mikhaylov. 2017-04-08. Dynamical inverse problem for Jacobi matrices. https://doi.org/10.3934/ipi.2019021

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