Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2010), pp. 7-15
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I. V. Polyakov. $(C,1)$-Summation of Fourier series over rearranged Vilenkin system. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2010), pp. 7-15. http://geodesic.mathdoc.fr/item/VMUMM_2010_4_a1/
@article{VMUMM_2010_4_a1,
author = {I. V. Polyakov},
title = {$(C,1)${-Summation} of {Fourier} series over rearranged {Vilenkin} system},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {7--15},
year = {2010},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_4_a1/}
}
TY - JOUR
AU - I. V. Polyakov
TI - $(C,1)$-Summation of Fourier series over rearranged Vilenkin system
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2010
SP - 7
EP - 15
IS - 4
UR - http://geodesic.mathdoc.fr/item/VMUMM_2010_4_a1/
LA - ru
ID - VMUMM_2010_4_a1
ER -
%0 Journal Article
%A I. V. Polyakov
%T $(C,1)$-Summation of Fourier series over rearranged Vilenkin system
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2010
%P 7-15
%N 4
%U http://geodesic.mathdoc.fr/item/VMUMM_2010_4_a1/
%G ru
%F VMUMM_2010_4_a1
The Cesaro means of a function $f$ with respect to the Vilenkin system in Kaczmarz rearrangement are considered. We prove that these means of a summable function converge to it almost everywhere.
