Scattering theory for difference equations with operator coefficients
Spectral Theory
2025-01-22 v1
Abstract
We consider a second order difference equation with operator-valued coefficients. More precisely, we study either compact or trace class perturbations of the discrete Laplacian in the Hilbert space of bi-infinite square-summable sequence with entries in a fixed Hilbert space. We discuss its continuous and discrete spectrum, as well as properties of the associated scattering matrix.
Cite
@article{arxiv.2501.11194,
title = {Scattering theory for difference equations with operator coefficients},
author = {David Sher and Luis Silva and Boris Vertman and Monika Winklmeier},
journal= {arXiv preprint arXiv:2501.11194},
year = {2025}
}
Comments
47 pages