Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 200, Pages 45–57
DOI: https://doi.org/10.36535/0233-6723-2021-200-45-57 (Mi into898) 		 
On universal Fourier–Walsh series

M. G. Grigoryan

Faculty of Physics, Yerevan State University
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DOI: https://doi.org/10.36535/0233-6723-2021-200-45-57
Abstract: In this work, we construct an asymptotic universal function for the spaces $L^{p}(0,1)$, $p\geq1$, with respect to the Walsh system in the sense of gaps (omissions) and signs.
Keywords: Fourier–Walsh coefficients, Fourier series, asymptotic universal function, norm convergence.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 18T-1A148
This work was supported by the State Science Committee of the Ministry of Education and Science of the Republic of Armenia (project No. 18T-1A148).
Document Type: Article
UDC: 517.51
MSC: 42C10; 42C20
Language: Russian
Citation: M. G. Grigoryan, “On universal Fourier–Walsh series”, Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 200, VINITI, Moscow, 2021, 45–57
Citation in format AMSBIB
\Bibitem{Gri21}
\by M.~G.~Grigoryan
\paper On universal Fourier--Walsh series
\inbook Proceedings of the 20 International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", Saratov, January 28 — February 1, 2020. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 200
\pages 45--57
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into898}
\crossref{https://doi.org/10.36535/0233-6723-2021-200-45-57}
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