The Kunz-Souillard approach to localization for Jacobi operators
Spectral Theory
2016-09-20 v1 Functional Analysis
Abstract
In this paper we study spectral properties of Jacobi operators. In particular, we prove two main results: (1) that perturbing the diagonal coefficients of Jacobi operator, in an appropriate sense, results in exponential localization, and purely pure point spectrum with exponentially decaying eigenfunctions; and (2) we present examples of decaying potentials such that the corresponding Jacobi operators have purely pure point spectrum.
Keywords
Cite
@article{arxiv.1609.05703,
title = {The Kunz-Souillard approach to localization for Jacobi operators},
author = {Valmir Bucaj},
journal= {arXiv preprint arXiv:1609.05703},
year = {2016}
}