Geodesic
Uniform convergence of Fourier series over Vilenkin system in the case of unbounded $p_k$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2022), pp. 61-65

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

Series with respect to a system of characters of a zero-dimensional compact commutative group are considered. A generalization of an analogue of Salem test and its corollaries, which were earlier obtained in the case of bounded sequence $\{p_k\}$ defining the system, are proved. 
@article{VMUMM_2022_1_a7,
     author = {S. M. Voronov},
     title = {Uniform convergence of {Fourier} series over {Vilenkin} system in the case of unbounded $p_k$},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {61--65},
     publisher = {mathdoc},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2022_1_a7/}
}
TY  - JOUR
AU  - S. M. Voronov
TI  - Uniform convergence of Fourier series over Vilenkin system in the case of unbounded $p_k$
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2022
SP  - 61
EP  - 65
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2022_1_a7/
LA  - ru
ID  - VMUMM_2022_1_a7
ER  - 
%0 Journal Article
%A S. M. Voronov
%T Uniform convergence of Fourier series over Vilenkin system in the case of unbounded $p_k$
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2022
%P 61-65
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMUMM_2022_1_a7/
%G ru
%F VMUMM_2022_1_a7
S. M. Voronov. Uniform convergence of Fourier series over Vilenkin system in the case of unbounded $p_k$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2022), pp. 61-65. http://geodesic.mathdoc.fr/item/VMUMM_2022_1_a7/