On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time
Mathematical Physics
2019-01-02 v1 math.MP
Abstract
We derive special representation for Weyl functions for finite and semi-infinite Jacobi matrices with bounded entries based on a relationship between spectral problem for Jacobi matrices and initial-boundary value problem for auxiliary dynamical systems with the discrete time for Jacobi matrices.
Keywords
Cite
@article{arxiv.1812.11041,
title = {On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time},
author = {A. S. Mikhaylov and V. S. Mikhaylov and S. A. Simonov},
journal= {arXiv preprint arXiv:1812.11041},
year = {2019}
}