Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 2, Pages 58–61 (Mi vmumm3473)  
Mathematics

Some properties of transformed Fourier series

B. V. Simonov
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Abstract: We find some conditions under which the transformed Fourier series of a function $f(x)\in L_p$ is a Fourier series of a suitable function $\varphi(x)\in L_p$. We also find some estimates of the module of smoothness of the fractional order for the function $\varphi(x)$. We study the precision of these estimates.
Received: 12.05.1982
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: B. V. Simonov, “Some properties of transformed Fourier series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 2, 58–61
Citation in format AMSBIB
\Bibitem{Sim83}
\by B.~V.~Simonov
\paper Some properties of transformed Fourier series
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 2
\pages 58--61
\mathnet{http://mi.mathnet.ru/vmumm3473}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0697224}
\zmath{https://zbmath.org/?q=an:0522.42011}
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