On an application of the Boundary control method to classical moment problems
Spectral Theory
2025-05-13 v1 Classical Analysis and ODEs
Abstract
We establish relationships between the classical moments problems which are problems of a construction of a measure supported on a real line, on a half-line or on an interval from prescribed set of moments with the Boundary control approach to a dynamic inverse problem for a dynamical system with discrete time associated with Jacobi matrices. We show that the solution of corresponding truncated moment problems is equivalent to solving some generalized spectral problems.
Cite
@article{arxiv.2505.07570,
title = {On an application of the Boundary control method to classical moment problems},
author = {Alexander Mikhaylov and Victor Mikhaylov},
journal= {arXiv preprint arXiv:2505.07570},
year = {2025}
}