Geodesic
On Bohr's theorem for multiple Fourier series
Matematičeskie zametki, Tome 64 (1998) no. 6, pp. 913-924

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of Pringsheim uniform convergence of multiple Fourier series in the trigonometric system is considered. A multidimensional analog of Bohr's theorem on the uniform convergence of the Fourier series of a continuous function after a homeomorphic chance of variable is proved. 
@article{MZM_1998_64_6_a11,
     author = {A. A. Sahakian},
     title = {On {Bohr's} theorem for multiple {Fourier} series},
     journal = {Matemati\v{c}eskie zametki},
     pages = {913--924},
     publisher = {mathdoc},
     volume = {64},
     number = {6},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_6_a11/}
}
TY  - JOUR
AU  - A. A. Sahakian
TI  - On Bohr's theorem for multiple Fourier series
JO  - Matematičeskie zametki
PY  - 1998
SP  - 913
EP  - 924
VL  - 64
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1998_64_6_a11/
LA  - ru
ID  - MZM_1998_64_6_a11
ER  - 
%0 Journal Article
%A A. A. Sahakian
%T On Bohr's theorem for multiple Fourier series
%J Matematičeskie zametki
%D 1998
%P 913-924
%V 64
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1998_64_6_a11/
%G ru
%F MZM_1998_64_6_a11
A. A. Sahakian. On Bohr's theorem for multiple Fourier series. Matematičeskie zametki, Tome 64 (1998) no. 6, pp. 913-924. http://geodesic.mathdoc.fr/item/MZM_1998_64_6_a11/