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 
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/
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     author = {S. M. Voronov},
     title = {Uniform convergence of {Fourier} series over {Vilenkin} system in the case of unbounded $p_k$},
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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.

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[5] Voronov S. M., “Ob analoge priznaka Khardi–Litlvuda dlya ryada Fure po sisteme Vilenkina v sluchae neogranichennykh $p_k$”, Vestn. Mosk. un-ta. Matem. Mekhan., 2020, no. 2, 48–51 | Zbl

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