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 National University, Donetsk

来源：

Ukrainian Mathematical Journal | 2011年 / 62卷 / 9期

关键词：

Radial Function; FOURIER Multiplier; Absolute Convergence; FOURIER Integral; Joint Behavior;

D O I：

10.1007/s11253-011-0444-9

中图分类号：

学科分类号：

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. © 2011 Springer Science+Business Media, Inc.

引用

页码：1487 / 1501

页数：14

共 17 条

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