On (C,1) summability for Vilenkin-like systems

DOI10.4064/sm144-2-1zbMath0974.42020OpenAlexW2084616203MaRDI QIDQ2717550

György Gát

Publication date: 17 June 2001

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

Full work available at URL: https://doi.org/10.4064/sm144-2-1

zbMATH Keywords

Walsh systemVilenkin-like systemsgroup of 2-adic integers\((C,1)\)-meansUDMD systems

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) General harmonic expansions, frames (42C15)

Related Items (11)

Almost everywhere convergence of Cesàro-Marcinkiewicz means of two-dimensional Fourier series on the group of \(2\)-adic integers ⋮ Almost everywhere convergence and divergence of Cesàro means with varying parameters of Walsh-Fourier series ⋮ Almost everywhere convergence of cone-like restricted two-dimensional Fejér means with respect to Vilenkin-like systems ⋮ On the boundedness of the \(L^{1}\)-norm of Walsh-Fejér kernels ⋮ New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents ⋮ Unnamed Item ⋮ Integrals of weighted maximal logarithmic kernels on bounded Vilenkin groups ⋮ Cesàro means of integrable functions with respect to unbounded Vilenkin systems ⋮ Almost everywhere convergence of Cesáro means of Fourier series on the group of 2-adic integers ⋮ Almost everywhere convergence of the Cesàro means of two variable Walsh-Fourier series with variable parameters ⋮ On the divergence of Nörlund logarithmic means of Walsh-Fourier series

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