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math.SP2010★ 12 cited
Sharp spectral estimates in domains of infinite volume
Leander Geisinger, Timo Weidl
We consider the Dirichlet Laplace operator on open, quasi-bounded domains of infinite volume. For such domains semiclassical spectral estimates based on the phase-space volume - an…
math.SP2010
Geometrical Versions of improved Berezin-Li-Yau Inequalities
Leander Geisinger, Ari Laptev, Timo Weidl
We study the eigenvalues of the Dirichlet Laplace operator on an arbitrary bounded, open set in , . In particular, we derive upper bounds on Riesz means of order $σ…