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arxiv: 1106.0658 · v4 · pith:LKDHW55Bnew · submitted 2011-06-03 · 🧮 math.SP · math.FA

Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians

classification 🧮 math.SP math.FA
keywords asymptoticdiscretedistributioneigenvalueabsencecharacterizedetailessential
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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.

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