Salem’s Conditions in the Nonperiodic Case

E. R. Liflyand

doi:10.1134/S0001434618090110

Salem’s Conditions in the Nonperiodic Case

E. R. Liflyand

Department of Mathematics

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

1 Scopus citations

Abstract

Salem’s necessary conditions for a trigonometric series to be the Fourier series of an integrable function are generalized to the nonperiodic case for functions in the Wiener algebra. Applications of the obtained result are given.

Original language	English
Pages (from-to)	437-442
Number of pages	6
Journal	Mathematical Notes
Volume	104
Issue number	3-4
DOIs	https://doi.org/10.1134/S0001434618090110
State	Published - 1 Sep 2018

Bibliographical note

Publisher Copyright:
© 2018, Pleiades Publishing, Ltd.

Keywords

Fourier transform
Wiener algebra
discrete Hilbert transform
modified Hilbert transform
trigonometric series

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10.1134/S0001434618090110

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abstract = "Salem{\textquoteright}s necessary conditions for a trigonometric series to be the Fourier series of an integrable function are generalized to the nonperiodic case for functions in the Wiener algebra. Applications of the obtained result are given.",

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KW - Wiener algebra

KW - discrete Hilbert transform

KW - modified Hilbert transform

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Salem’s Conditions in the Nonperiodic Case

Abstract

Bibliographical note

Keywords

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