Fourier Tauberian Theorems and Applications

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dc.creatorSafarov, Y
dc.date2000-03-02
dc.date.accessioned2026-07-07T04:34:10Z
dc.date.available2026-07-07T04:34:10Z
dc.descriptionThe main aim of the paper is to present a general version of the Fourier Tauberian theorem for monotone functions. This result, together with Berezin's inequality, allows us to obtain a refined version the Li-Yau estimate for the counting function of the Dirichlet Laplacian which implies the Li-Yau estimate itself and, at the same time, the asymptotic results obtained by the variational method.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0003014
dc.identifierhttp://arxiv.org/abs/math/0003014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58801
dc.subjectSpectral Theory
dc.subjectClassical Analysis and ODEs
dc.subject26A48, 35P15
dc.titleFourier Tauberian Theorems and Applications
dc.typetext

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