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Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians |
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| Authors: | Sylvain Golénia |
| Institution: | Institut de Mathématiques de Bordeaux, Université Bordeaux 1, 351, cours de la Libération, 33405 Talence cedex, France |
| 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: | Magnetic discrete Laplacian Locally finite graphs Self-adjointness Unboundedness Semi-boundedness Spectrum Spectral graph theory Asymptotic of eigenvalues Essential spectrum |
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