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Ural Mathematical Journal, 2018, Volume 4, Issue 2, Pages 6–12
DOI: https://doi.org/10.15826/umj.2018.2.002 (Mi umj58) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the summability of the discrete Hilbert transform

Rashid A. Alievab, Aynur F. Amrahovaa

a Baku State University, Baku, AZ 1148, Azerbaijan
b Institute of Mathematics and Mechanics, NAS of Azerbaijan, Baku, AZ 1141, Azerbaijan
Full-text PDF (107 kB) Citations (4)
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DOI: https://doi.org/10.15826/umj.2018.2.002
Abstract: In this paper, we study the asymptotic behavior of the distribution function of the discrete Hilbert transform of sequences from the class $l_1$ and find a necessary condition and a sufficient condition for the summability of the discrete Hilbert transform of a sequence from the class $l_1$.
Keywords: Discrete Hilbert transform, Asymptotic behavior of the distribution function, Class of summable sequences.
Funding agency Grant number
Science Development Foundation under the President of the Republic of Azerbaijan EIF/MQM/Elm-Tehsil-1-2016-1(26)-71/08/01
This research was supported by the Science Development Foundation under the President of the Republic of Azerbaijan (grant no. EIF/MQM/Elm-Tehsil-1-2016-1(26)-71/08/01).
Bibliographic databases:
Document Type: Article
Language: English
Citation: Rashid A. Aliev, Aynur F. Amrahova, “On the summability of the discrete Hilbert transform”, Ural Math. J., 4:2 (2018), 6–12
Citation in format AMSBIB
\Bibitem{AliAmr18}
\by Rashid~A.~Aliev, Aynur~F.~Amrahova
\paper On the summability of the discrete Hilbert transform
\jour Ural Math. J.
\yr 2018
\vol 4
\issue 2
\pages 6--12
\mathnet{http://mi.mathnet.ru/umj58}
\crossref{https://doi.org/10.15826/umj.2018.2.002}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=MR3901580}
\elib{https://elibrary.ru/item.asp?id=36702168}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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