Remling's Theorem for vector-valued discrete Schrodinger operators
Spectral Theory
2026-03-03 v1 Mathematical Physics
math.MP
Abstract
This paper extends Remling's Theorem to vector-valued discrete Schrodinger operators, showing that the {\omega} limit points of the matrix potentials, under the shift map, are reflectionless on the absolutely continuous spectrum with full multiplicity.
Cite
@article{arxiv.2603.00299,
title = {Remling's Theorem for vector-valued discrete Schrodinger operators},
author = {Keshav Raj Acharya},
journal= {arXiv preprint arXiv:2603.00299},
year = {2026}
}