Dynamical inverse problem for Jacobi matrices
Abstract
We consider the inverse dynamical problem for the dynamical system with discrete time associated with the semiinfinite Jacobi matrix. We solve the inverse problem for such a system and answer a question on the characterization of the inverse data. As a byproduct we give a necessary and sufficient condition for the measure on the real line line to be the spectral measure of semiinfinite discrete Schrodinger operator.
 Publication:

arXiv eprints
 Pub Date:
 April 2017
 DOI:
 10.48550/arXiv.1704.02481
 arXiv:
 arXiv:1704.02481
 Bibcode:
 2017arXiv170402481M
 Keywords:

 Mathematics  Spectral Theory
 EPrint:
 doi:10.3934/ipi.2019021