The Wiener algebra of absolutely convergent Fourier integrals: an overview

E. Liflyand; S. Samko; R. Trigub

doi:10.1007/s13324-012-0025-6

The Wiener algebra of absolutely convergent Fourier integrals: an overview

E. Liflyand, S. Samko, R. Trigub

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

61 Scopus citations

Abstract

In this survey, results on the representation of a function as an absolutely convergent Fourier integral are collected, classified and discussed. Certain applications are also given.

Original language	English
Pages (from-to)	1-68
Number of pages	68
Journal	Analysis and Mathematical Physics
Volume	2
Issue number	1
DOIs	https://doi.org/10.1007/s13324-012-0025-6
State	Published - 25 Mar 2012

Bibliographical note

Publisher Copyright:
© 2012, Springer Basel AG.

Keywords

Bessel function
Bounded variation
Fourier multiplier
Fourier transform
Fractional derivative
Positive definite function
Quasi-convexity
Radial function

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10.1007/s13324-012-0025-6

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The Wiener algebra of absolutely convergent Fourier integrals: an overview

Abstract

Bibliographical note

Keywords

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