Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 3, Pages 11–16 (Mi vmumm4227)  
Mathematics

On divergence sets for trigonometric Fourier series

S. Yu. Lukashenko
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Abstract: There exists $f(x)\in C[0,2\pi]$, with the following condition. If $E$ is the divergence set for the trigonometric Fourier series of $f(x)$ then $E\in G_{\delta\sigma}$, $E\notin F_\sigma$, $E\notin G_\delta$.
Received: 17.04.1979
Bibliographic databases:
Document Type: Article
UDC: 517.52
Language: Russian
Citation: S. Yu. Lukashenko, “On divergence sets for trigonometric Fourier series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3, 11–16
Citation in format AMSBIB
\Bibitem{Luk82}
\by S.~Yu.~Lukashenko
\paper On divergence sets for trigonometric Fourier series
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1982
\issue 3
\pages 11--16
\mathnet{http://mi.mathnet.ru/vmumm4227}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0671049}
\zmath{https://zbmath.org/?q=an:0519.42008}
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