Abel-Tauber theorems for Fourier-Stieltjes coefficients

被引：1

作者：

Inoue, A

机构：

[1] Department of Mathematics, Hokkaido University, Sapporo

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1997年 / 211卷 / 02期

关键词：

D O I：

10.1006/jmaa.1997.5479

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove Abel-Tauber theorems which link the asymptotics of a function and its Fourier-Stieltjes coefficients under a weak Tauberian condition. Both cosine and sine coefficients are studied. The results in the cosine case can be applied to stationary time series with long-time memory. The analogues for Fourier-Stieltjes transforms are also given. (C) 1997 Academic Press.

引用

页码：460 / 480

页数：21

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