Hardy inequality and Weyl asymptotic for discrete Laplacians

Details Hardy inequality and Weyl asymptotic for discrete Laplacians Hardy inequality and Weyl asymptotic for discrete Laplacians

2011-06-03

arxiv.org/abs/1106.0658v2

Mathematics

Spectral Theory

Typos corrected. A small section about Friedrichs extension appeared. The first part of Proposition 3.4 has been corrected. Th

Scientific paper

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 Weyl asymptotic for the eigenvalues.

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