Geodesic
On the attribute of uniform convergence of Fourier series of the Vilenkin system in the case of unbounded $p_k$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2022), pp. 48-51

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Series with respect to a system of characters of a zero-dimensional compact commutative group are considered. Generalization of the test of convergence of Fourier series of the Vilenkin system in the case of unbounded quasimonotone $p_k$ for functions having a generalized bounded $\Phi$-fluctuation, which was earlier obtained in the case of bounded sequences $p_k$, is proved. 
@article{VMUMM_2022_5_a7,
     author = {S. M. Voronov},
     title = {On the attribute of uniform convergence of {Fourier} series of the {Vilenkin} system in the case of unbounded $p_k$},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {48--51},
     publisher = {mathdoc},
     number = {5},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2022_5_a7/}
}
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S. M. Voronov. On the attribute of uniform convergence of Fourier series of the Vilenkin system in the case of unbounded $p_k$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2022), pp. 48-51. http://geodesic.mathdoc.fr/item/VMUMM_2022_5_a7/