Fourier Tauberian theorems and applications

Y Safarov

doi:10.1006/jfan.2001.3764

Fourier Tauberian theorems and applications

Y Safarov

Research output: Contribution to journal › Article › peer-review

26 Citations (Scopus)

Abstract

The 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 of 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. (C) 2001 Academic Press.

Original language	English
Pages (from-to)	111 - 128
Number of pages	18
Journal	JOURNAL OF FUNCTIONAL ANALYSIS
Volume	185
Issue number	1
DOIs	https://doi.org/10.1006/jfan.2001.3764
Publication status	Published - 10 Sept 2001

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10.1006/jfan.2001.3764

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Fourier Tauberian theorems and applications

Abstract

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