A Rellich Type Theorem for Discrete Schr{\"o}dinger Operators
Spectral Theory
2013-07-25 v2
Abstract
An analogue of Rellich's theorem is proved for discrete Laplacian on square lattice, and applied to show unique continuation property on certain domains as well as non-existence of embedded eigenvalues for discrete Schr{\"o}dinger operators.
Cite
@article{arxiv.1208.4428,
title = {A Rellich Type Theorem for Discrete Schr{\"o}dinger Operators},
author = {Hiroshi Isozaki and Hisashi Morioka},
journal= {arXiv preprint arXiv:1208.4428},
year = {2013}
}
Comments
16 pages