Spaces of Trigonometric Series and the Wiener Algebra

Elijah Liflyand

doi:10.1007/978-3-031-95551-8_14

Spaces of Trigonometric Series and the Wiener Algebra

Elijah Liflyand

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

A general overview is given for whether a trigonometric series is the Fourier series of an integrable function.

Original language	English
Title of host publication	Applied and Numerical Harmonic Analysis
Publisher	Birkhauser
Pages	259-276
Number of pages	18
DOIs	https://doi.org/10.1007/978-3-031-95551-8_14
State	Published - 2026

Publication series

Name	Applied and Numerical Harmonic Analysis
Volume	Part F1289
ISSN (Print)	2296-5009
ISSN (Electronic)	2296-5017

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2026.

Keywords

Bounded variation
Fourier series
Fourier transform
Integrability
Trigonometric series
Wiener algebra

Access to Document

10.1007/978-3-031-95551-8_14

Cite this

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KW - Fourier series

KW - Fourier transform

KW - Integrability

KW - Trigonometric series

KW - Wiener algebra

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Spaces of Trigonometric Series and the Wiener Algebra

Abstract

Publication series

Bibliographical note

Keywords

Access to Document

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Cite this