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Sbornik: Mathematics, 2020, Volume 211, Issue 6, Pages 850–874
DOI: https://doi.org/10.1070/SM9302 (Mi sm9302) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Functions with universal Fourier-Walsh series

M. G. Grigoryan

Faculty of Physics, Yerevan State University, Yerevan, Republic of Armenia
English version PDF (566 kB) Citations (13) Russian version article
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DOI: https://doi.org/10.1070/SM9302
Abstract: We prove results on the existence of functions whose Fourier series in the Walsh system are universal in some sense or other in the function classes $L^p[0,1]$, $0<p<1$, and $M[0,1]$. We also give a description of the structure of these functions.
Bibliography: 30 titles.
Keywords: universal functions, Fourier-Walsh series, convergence, almost everywhere convergence.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 18T-1A148
This research was carried out with the financial support of the State Committee on Science of the Ministry of Education and Science of the Republic of Armenia (project no. 18T-1A148).
Received: 07.07.2019 and 08.12.2019
Bibliographic databases:
Document Type: Article
UDC: 517.538
PACS: УДК 517.538
MSC: 42C10, 43A15
Language: English
Original paper language: Russian
Citation: M. G. Grigoryan, “Functions with universal Fourier-Walsh series”, Sb. Math., 211:6 (2020), 850–874
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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