Geodesic
Transformation of Fourier series using power and weakly oscillating sequences
Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 99-116

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

In the present paper, we consider transformations of the Fourier series of functions of several variables by means of the products of power and weakly oscillating sequences. Estimates of the mixed moduli of smoothness of the transformed Fourier series are obtained via the mixed moduli of smoothness of the functions under consideration. 
@article{MZM_2005_77_1_a8,
     author = {M. K. Potapov and B. V. Simonov and S. Yu. Tikhonov},
     title = {Transformation of {Fourier} series using power and weakly oscillating sequences},
     journal = {Matemati\v{c}eskie zametki},
     pages = {99--116},
     publisher = {mathdoc},
     volume = {77},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a8/}
}
TY  - JOUR
AU  - M. K. Potapov
AU  - B. V. Simonov
AU  - S. Yu. Tikhonov
TI  - Transformation of Fourier series using power and weakly oscillating sequences
JO  - Matematičeskie zametki
PY  - 2005
SP  - 99
EP  - 116
VL  - 77
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a8/
LA  - ru
ID  - MZM_2005_77_1_a8
ER  - 
%0 Journal Article
%A M. K. Potapov
%A B. V. Simonov
%A S. Yu. Tikhonov
%T Transformation of Fourier series using power and weakly oscillating sequences
%J Matematičeskie zametki
%D 2005
%P 99-116
%V 77
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a8/
%G ru
%F MZM_2005_77_1_a8
M. K. Potapov; B. V. Simonov; S. Yu. Tikhonov. Transformation of Fourier series using power and weakly oscillating sequences. Matematičeskie zametki, Tome 77 (2005) no. 1, pp. 99-116. http://geodesic.mathdoc.fr/item/MZM_2005_77_1_a8/