On uniform convergence of Fourier series with respect to Vilenkin systems with unbounded \(p_k \)

DOI10.3103/S0027132222010077zbMath1506.43003OpenAlexW4283033992MaRDI QIDQ2674658

Sergeĭ Mirzoevich Voronov

Publication date: 14 September 2022

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

Full work available at URL: https://doi.org/10.3103/s0027132222010077

zbMATH Keywords

Fourier seriesVilenkin systemSalem testzero-dimensional groupscharacters of groups

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Locally compact abelian groups (LCA groups) (22B99) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (1)

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

Cites Work

• Analogue of Hardy-Littlewood test for Fourier series over Vilenkin system in the case of unbounded \(p_k\)
• Some convergence tests for Fourier series with respect to Vilenkin system in the case of unbounded \(p_k\)
• Uniform convergence of Fourier series on groups. I
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