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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 4, Pages 65–75
DOI: https://doi.org/10.26907/0021-3446-2023-4-65-75
(Mi ivm9870)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the absolute convergence of double Fourier series of uniform almost-periodic functions in a uniform metric

F. M. Talbakov

S. Aini Tajik State Pedagogical University, 121 Rudaki str., Dushanbe, 734003 Tajikistan
Full-text PDF (371 kB) Citations (2)
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Abstract: Sufficient conditions for the absolute convergence of double Fourier series of uniform almost periodic functions are investigated in the paper in the case when the Fourier exponents have a single limit point at zero. As a structural characteristic of the function under consideration, we use the value built on the basis of the Laplace transform.
Keywords: almost-periodic functions, double Fourier series, function spectrum, Fourier coefficients, limit point at zero, Laplace transform.
Received: 25.06.2022
Revised: 25.06.2022
Accepted: 21.12.2022
Document Type: Article
UDC: 517.518
Language: Russian
Citation: F. M. Talbakov, “On the absolute convergence of double Fourier series of uniform almost-periodic functions in a uniform metric”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 4, 65–75
Citation in format AMSBIB
\Bibitem{Tal23}
\by F.~M.~Talbakov
\paper On the absolute convergence of double Fourier series of uniform almost-periodic functions in a uniform metric
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 4
\pages 65--75
\mathnet{http://mi.mathnet.ru/ivm9870}
\crossref{https://doi.org/10.26907/0021-3446-2023-4-65-75}
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  • https://www.mathnet.ru/eng/ivm/y2023/i4/p65
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:14
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