Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 11-16
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S. Yu. Lukashenko. On divergence sets for trigonometric Fourier series. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 11-16. http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a2/
@article{VMUMM_1982_3_a2,
author = {S. Yu. Lukashenko},
title = {On divergence sets for trigonometric {Fourier} series},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {11--16},
year = {1982},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a2/}
}
TY - JOUR
AU - S. Yu. Lukashenko
TI - On divergence sets for trigonometric Fourier series
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 11
EP - 16
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a2/
LA - ru
ID - VMUMM_1982_3_a2
ER -
%0 Journal Article
%A S. Yu. Lukashenko
%T On divergence sets for trigonometric Fourier series
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 11-16
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a2/
%G ru
%F VMUMM_1982_3_a2
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 $E\in G_{\delta\sigma}$, $E\notin F_\sigma$, $E\notin G_\delta$.
