English

Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians

Spectral Theory 2014-02-24 v4 Functional Analysis

Abstract

In this paper we study in detail some spectral properties of the magnetic discrete Laplacian. We identify its form-domain, characterize the absence of essential spectrum and provide the asymptotic eigenvalue distribution.

Keywords

Cite

@article{arxiv.1106.0658,
  title  = {Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians},
  author = {Sylvain Golenia},
  journal= {arXiv preprint arXiv:1106.0658},
  year   = {2014}
}

Comments

Few typos. To appear in Journal of Functional Analysis