On the representation of a function as an absolutely convergent Fourier integral

被引：0

作者：

E. R. Liflyand

R. M. Trigub

机构：

[1] Bar-Ilan University,Department of Mathematics

[2] Donetsk National University,Faculty of Mathematics

来源：

Proceedings of the Steklov Institute of Mathematics | 2010年 / 269卷

关键词：

STEKLOV Institute; Fractional Derivative; Fourier Multiplier; Absolute Convergence; FOURIER Integral;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain new sufficient conditions for the representability of a function by an absolutely convergent Fourier integral in ℝd. These conditions are given in terms of the simultaneous behavior of a function and its derivatives at ∞. We test the sharpness of the conditions using well-known examples.

引用

页码：146 / 159

页数：13

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[9]

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