Geodesic
Analogue of the Hardy–Littlewood criterion for Fourier series over Vilenkin system in the case
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 48-51 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Series with respect to a system of characters of a zero-dimensional compact commutative group are considered. A generalization of analogue of Hardy–Littlewood test and its consequences, which were earlier obtained in the case of bounded sequence $\{p_k\}$ defining the system, are proved. 
@article{VMUMM_2020_2_a8,
     author = {S. M. Voronov},
     title = {Analogue of the {Hardy{\textendash}Littlewood} criterion for {Fourier} series over {Vilenkin} system in the case},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {48--51},
     year = {2020},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a8/}
}
TY  - JOUR
AU  - S. M. Voronov
TI  - Analogue of the Hardy–Littlewood criterion for Fourier series over Vilenkin system in the case
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2020
SP  - 48
EP  - 51
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a8/
LA  - ru
ID  - VMUMM_2020_2_a8
ER  - 
%0 Journal Article
%A S. M. Voronov
%T Analogue of the Hardy–Littlewood criterion for Fourier series over Vilenkin system in the case
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2020
%P 48-51
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a8/
%G ru
%F VMUMM_2020_2_a8
S. M. Voronov. Analogue of the Hardy–Littlewood criterion for Fourier series over Vilenkin system in the case. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2020), pp. 48-51. http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a8/

[1] Vilenkin N. Ya., “O klasse polnykh ortonormirovannykh sistem”, Izv. AN SSSR. Ser. matem., 11 (1947), 363–400 | Zbl

[2] Agaev G. N., Vilenkin N. Ya., Dzhafarli G. M., Rubinshtein A. I., Multiplikativnye sistemy funktsii i analiz na nulmernykh gruppakh, Elm, Baku, 1981 | MR

[3] Voronov S. M., “O nekotorykh priznakakh skhodimosti ryadov Fure po sisteme Vilenkina v sluchae neogranichennykh $p_k$”, Vestn. Mosk. un-ta. Matem. Mekhan., 2019, no. 5, 42–44