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Matematicheskie Zametki, 2018, Volume 104, Issue 3, Pages 447–453
DOI: https://doi.org/10.4213/mzm12116 (Mi mzm12116) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Salem's Conditions in the Nonperiodic Case

E. R. Liflyandab

a Bar-Ilan University, Ramat Gan
b Nikol'skii Mathematical Institute of Peoples’ Friendship University of Russia
Full-text PDF (427 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm12116
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.
Keywords: Wiener algebra, trigonometric series, discrete Hilbert transform, modified Hilbert transform, Fourier transform.
Received: 30.11.2017
Revised: 02.03.2018
English version:
Mathematical Notes, 2018, Volume 104, Issue 3, Pages 437–442
DOI: https://doi.org/10.1134/S0001434618090110
Bibliographic databases:
Document Type: Article
UDC: 517.518.5
Language: Russian
Citation: E. R. Liflyand, “Salem's Conditions in the Nonperiodic Case”, Mat. Zametki, 104:3 (2018), 447–453; Math. Notes, 104:3 (2018), 437–442
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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