Salem’s Conditions in the Nonperiodic Case

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. © 2018, Pleiades Publishing, Ltd.

Authors
Liflyand E.R. 1, 2
Journal
Mathematical Notes
Number of issue
3-4
Language
English
Pages
437-442
Status
Published
Link
External link
DOI
10.1134/S0001434618090110
Volume
104
Year
2018
Organizations
  • 1 Bar-Ilan University, Ramat-Gan, 52900, Israel
  • 2 Nikol’skii Institute of Mathematics, RUDN University, Moscow, 117198, Russian Federation
Keywords
discrete Hilbert transform; Fourier transform; modified Hilbert transform; trigonometric series; Wiener algebra
Date of creation
04.02.2019
Date of change
04.02.2019
Short link
https://repository.rudn.ru/en/records/article/record/36329/
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