On the almost everywhere convergence of Fejér means of functions on the group of 2-adic integers

DOI10.1006/jath.1996.3067zbMath0883.42021OpenAlexW1979959735MaRDI QIDQ1362116

György Gát

Publication date: 22 March 1998

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1996.3067

zbMATH Keywords

Cesàro maximal operatorCesàro summability of Fourier series on the group of integers of a 2-adic field

Mathematics Subject Classification ID

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

Related Items (8)

Almost everywhere convergence of Cesàro-Marcinkiewicz means of two-dimensional Fourier series on the group of \(2\)-adic integers ⋮ On the maximal operators of Fejér means with respect to the character system of the group of 2-adic integers in Hardy spaces ⋮ Almost everywhere convergence of Riesz means of one-dimensional Fourier series on the group of 2-adic integers ⋮ Approximation by matrix transform means with respect to the character system of the group of 2-adic integers ⋮ Pointwise convergence of the Fejér means of functions on unbounded Vilenkin groups ⋮ Almost everywhere convergence of Cesáro means of Fourier series on the group of 2-adic integers ⋮ Transference method for cone-like restricted summability of the two-dimensional Walsh-like systems ⋮ Almost everywhere \((C, \alpha, \beta > 0)\)-summability of the Fourier series of functions on the \(2\)-adic additive group

Cites Work

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• \((L^ 1,H)\)-type estimations for some operators with respect to the Walsh-Paley system
• Pointwise convergence of expansions with respect to certain product systems
• On \(L^p\)-norm convergence of series with respect to product systems
• Fourier Analysis on Local Fields. (MN-15)
• On a generalization of the concept of derivative
• Fourier series on the ring of integers in a 𝑝-series field
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES

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