Fourier Tauberian Theorems and Applications
谱理论
2007-05-23 v1 经典分析与常微分方程
摘要
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 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.
引用
@article{arxiv.math/0003014,
title = {Fourier Tauberian Theorems and Applications},
author = {Y Safarov},
journal= {arXiv preprint arXiv:math/0003014},
year = {2007}
}
备注
15 pages