Equiconvergence of expansions into triple trigonometric series and Fourier integral for continuous functions with a certain modulus of continuity
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 25-33
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We study the problem of equiconvergence on $\mathbb T^3=[-\pi, \pi)^3$ for expansions in a triple trigonometric Fourier series and a Fourier integral of continuous functions with a certain modulus of continuity in the case of a “lacunary sequence of partial sums”.
@article{VMUMM_2015_1_a4,
author = {D. A. Grafov},
title = {Equiconvergence of expansions into triple trigonometric series and {Fourier} integral for continuous functions with a certain modulus of continuity},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {25--33},
publisher = {mathdoc},
number = {1},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a4/}
}
TY - JOUR AU - D. A. Grafov TI - Equiconvergence of expansions into triple trigonometric series and Fourier integral for continuous functions with a certain modulus of continuity JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2015 SP - 25 EP - 33 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a4/ LA - ru ID - VMUMM_2015_1_a4 ER -
%0 Journal Article %A D. A. Grafov %T Equiconvergence of expansions into triple trigonometric series and Fourier integral for continuous functions with a certain modulus of continuity %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2015 %P 25-33 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a4/ %G ru %F VMUMM_2015_1_a4
D. A. Grafov. Equiconvergence of expansions into triple trigonometric series and Fourier integral for continuous functions with a certain modulus of continuity. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2015), pp. 25-33. http://geodesic.mathdoc.fr/item/VMUMM_2015_1_a4/