Wave operators for Jacobi matrices
Spectral Theory
2026-04-21 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Abstract
We study the wave operators for a Jacobi matrix whose spectral measure satisfies the Szeg\"o condition. We prove existence and completeness of wave operators under a mild additional assumption on the Verblunsky coefficients of the associated measure on the unit circle.
Cite
@article{arxiv.2604.18442,
title = {Wave operators for Jacobi matrices},
author = {Sergey A. Denisov and Giorgio Young},
journal= {arXiv preprint arXiv:2604.18442},
year = {2026}
}