On the uniform \((C,1)\)-summability of Fourier series and integrability of series with respect to multiplicative orthonormal systems

DOI10.1007/BF01910945zbMath0781.42025OpenAlexW1503154640MaRDI QIDQ1812846

R. Zh Nurpeisov

Publication date: 25 June 1992

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01910945

zbMATH Keywords

Vilenkin-Fourier seriesDirichlet kernelVilenkin groupFejér kernelintegrability of seriesmultiplicative orthogonal systemsuniform \((C,1)\) summability

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75)

Related Items (1)

An integrability theorem for unbounded Vilenkin systems

Cites Work

• Unnamed Item
• Recent developments in the theory of Walsh series
• Certain Groups of Orthonormal Step Functions
• Etude arithmétique des nombres de Young

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