Matematičeskie zametki, Tome 13 (1973) no. 5, pp. 625-635
Citer cet article
R. A. Avetisyan. On sets of absolute convergence for multiple trigonometric series. Matematičeskie zametki, Tome 13 (1973) no. 5, pp. 625-635. http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a0/
@article{MZM_1973_13_5_a0,
author = {R. A. Avetisyan},
title = {On sets of absolute convergence for multiple trigonometric series},
journal = {Matemati\v{c}eskie zametki},
pages = {625--635},
year = {1973},
volume = {13},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a0/}
}
TY - JOUR
AU - R. A. Avetisyan
TI - On sets of absolute convergence for multiple trigonometric series
JO - Matematičeskie zametki
PY - 1973
SP - 625
EP - 635
VL - 13
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a0/
LA - ru
ID - MZM_1973_13_5_a0
ER -
%0 Journal Article
%A R. A. Avetisyan
%T On sets of absolute convergence for multiple trigonometric series
%J Matematičeskie zametki
%D 1973
%P 625-635
%V 13
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_5_a0/
%G ru
%F MZM_1973_13_5_a0
We obtain a sufficient condition for a set of measure zero in $N$-dimensional space to be a set of absolute convergence (A. C. set) for an $N$-tuple trigonometric series. We also show that, in a certain subclass of sets of measure zero (namely in the subclass of ldquo monotonicrdquo curves), this condition cannot be sharpened.
