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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 5, Pages 1035–1051
DOI: https://doi.org/10.33048/smzh.2022.63.506 (Mi smj7711) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On universal Fourier series in the Walsh system

M. G. Grigoryan

Yerevan State University
Full-text PDF (366 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2022.63.506
Abstract: We prove some theorems concerning the existence of functions whose Fourier series in the Walsh system are universal in the class of all measurable functions in the sense of signs in the cases of convergence in measure and almost everywhere convergence.
Keywords: universal functions, Walsh system, almost everywhere convergence, convergence in measure, measurable function space.
Funding agency Grant number
Ministry of Education, Science, Culture and Sports RA, Science Committee 21AG-1A066
The work was supported by the Science Committee of the Republic of Armenia (Project 21AG–1A066).
Received: 17.11.2021
Revised: 10.04.2022
Accepted: 15.04.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 5, Pages 868–882
DOI: https://doi.org/10.1134/S0037446622050068
Document Type: Article
UDC: 517.51
MSC: 35R30
Language: Russian
Citation: M. G. Grigoryan, “On universal Fourier series in the Walsh system”, Sibirsk. Mat. Zh., 63:5 (2022), 1035–1051; Siberian Math. J., 63:5 (2022), 868–882
Citation in format AMSBIB
\Bibitem{Gri22}
\by M.~G.~Grigoryan
\paper On universal Fourier series in the Walsh system
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 5
\pages 1035--1051
\mathnet{http://mi.mathnet.ru/smj7711}
\crossref{https://doi.org/10.33048/smzh.2022.63.506}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 5
\pages 868--882
\crossref{https://doi.org/10.1134/S0037446622050068}
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    • This publication is cited in the following 3 articles:
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    		Сибирский математический журнал Siberian Mathematical Journal
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