Matematičeskie zametki, Tome 18 (1975) no. 2, pp. 153-168
Citer cet article
I. L. Bloshanskii. Uniform convergence of expansions into a multiple trigonometric Fourier series or a Fourier integral. Matematičeskie zametki, Tome 18 (1975) no. 2, pp. 153-168. http://geodesic.mathdoc.fr/item/MZM_1975_18_2_a0/
@article{MZM_1975_18_2_a0,
author = {I. L. Bloshanskii},
title = {Uniform convergence of expansions into a~multiple trigonometric {Fourier} series or {a~Fourier} integral},
journal = {Matemati\v{c}eskie zametki},
pages = {153--168},
year = {1975},
volume = {18},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_2_a0/}
}
TY - JOUR
AU - I. L. Bloshanskii
TI - Uniform convergence of expansions into a multiple trigonometric Fourier series or a Fourier integral
JO - Matematičeskie zametki
PY - 1975
SP - 153
EP - 168
VL - 18
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_2_a0/
LA - ru
ID - MZM_1975_18_2_a0
ER -
%0 Journal Article
%A I. L. Bloshanskii
%T Uniform convergence of expansions into a multiple trigonometric Fourier series or a Fourier integral
%J Matematičeskie zametki
%D 1975
%P 153-168
%V 18
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_2_a0/
%G ru
%F MZM_1975_18_2_a0
Questions of convergence almost everywhere of expansions into a multiple trigonometric Fourier series or a Fourier integral are studied for functions from $L_p$, $p\ge1$, with summation over rectangles. Moreover, a ldquogeneralized localization principle,rdquo understood in the sense of convergence almost everywhere, is considered in the paper.
