Example of a divergent Fourier series in the Vilenkin system

DOI10.1134/S0001434611050130zbMath1232.43003MaRDI QIDQ650489

I. V. Polyakov

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Walsh systemDirichlet kernelFourier seriesVilenkin systemRademacher functionVilenkin function

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (1)

On Sjölin-Soria-Antonov type extrapolation for locally compact groups and a.e. convergence of Vilenkin-Fourier series

Cites Work

• Remarks on a theorem by N. Yu. Antonov
• On everywhere divergence of trigonometric Fourier series
• Almost Everywhere Convergence of Vilenkin-Fourier Series
• Everywhere divergent Fourier series with respect to the Walsh system and with respect to multiplicative systems
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