On the divergence of Vilenkin-Fourier series

DOI10.1007/BF01961322zbMath0522.42021OpenAlexW2071950722MaRDI QIDQ1056010

J. Blot

Publication date: 1983

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01961322

zbMATH Keywords

Vilenkin systemsintegral modulus of continuityVilenkin groupalmost everywhere divergent Fourier seriespolynomials of Fejer type

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (4)

An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems ⋮ On the divergence sets of Fourier series in systems of characters of compact abelian groups ⋮ On the Lebesgue test for convergence of Fourier series on unbounded Vilenkin groups ⋮ On the divergence of Nörlund logarithmic means of Walsh-Fourier series

Cites Work

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• On limits of sequences of operators
• On a certain system of orthogonal step functions. I
• Certain Groups of Orthonormal Step Functions
• On a generalization of the concept of derivative
• On the convergence of Vilenkin-Fourier series
• Sets of Divergence on the Group 2 ω

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