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Berezin--Li--Yau inequalities for Aharonov--Bohm operators

Levitin, Michael et al.
arXiv (All) · Papers
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mathematical-physicsspectral-theory
We prove the sharp Berezin--Li--Yau inequality for Riesz means of order at least one for Aharonov--Bohm operators on bounded planar domains with Dirichlet boundary conditions. This confirms a conjecture posed by Frank and Hansson in 2008. We also obtain an improved lower bound for individual eigenva
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