On the attribute of uniform convergence of Fourier series of the Vilenkin system in the case of unbounded \(p_k\)

DOI10.3103/S0027132222050084OpenAlexW4315565034MaRDI QIDQ2688117

Sergeĭ Mirzoevich Voronov

Publication date: 9 March 2023

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132222050084

zbMATH Keywords

Fourier seriesVilenkin systemzero-dimensional groupSalem testcharacters of group

Mathematics Subject Classification ID

Abstract harmonic analysis (43-XX) Compact groups (22Cxx) Topological and differentiable algebraic systems (22Axx)

Cites Work

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• Uniform convergence of Fourier series on groups. I
• On uniform convergence of Fourier series with respect to Vilenkin systems with unbounded \(p_k \)

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