ON FOURIER MULTIPLIERS AND ABSOLUTE CONVERGENCE OF FOURIER INTEGRALS OF RADIAL FUNCTIONS

被引：0

作者：

Trigub, R. M. ^{[1
]}

机构：

[1] Donetsk Natl Univ, Donetsk, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2011年 / 62卷 / 09期

关键词：

OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain sufficient conditions for the representability of a function in the form of an absolutely convergent Fourier integral. These conditions are given in terms of the joint behavior of the function and its derivatives at infinity, and their efficiency and exactness are verified with the use of a known example. We also consider radial functions of an arbitrary number of variables.

引用

页码：1487 / 1501

页数：15

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