The essential spectrum of the Laplacian
Differential Geometry
2013-05-29 v2 Analysis of PDEs
Spectral Theory
Abstract
In this article we prove a generalization of Weyl's criterion for the essential spectrum of a self-adjoint operator on a Hilbert space. We then apply this criterion to the Laplacian on functions over open manifolds and get new results for its essential spectrum.
Keywords
Cite
@article{arxiv.1211.3225,
title = {The essential spectrum of the Laplacian},
author = {Nelia Charalambous and Zhiqin Lu},
journal= {arXiv preprint arXiv:1211.3225},
year = {2013}
}