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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
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.
Received: 07.07.2019 and 08.12.2019
Citation:
M. G. Grigoryan, “Functions with universal Fourier-Walsh series”, Mat. Sb., 211:6 (2020), 107–131; Sb. Math., 211:6 (2020), 850–874
Linking options:
https://www.mathnet.ru/eng/sm9302https://doi.org/10.1070/SM9302 https://www.mathnet.ru/eng/sm/v211/i6/p107
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Abstract page: | 369 | Russian version PDF: | 55 | English version PDF: | 15 | References: | 39 | First page: | 19 |
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