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

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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--Littlewood} criterion for {Fourier} series over {Vilenkin} system in the case},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {48--51},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_2_a8/}
}
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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/