Almost everywhere \((C, \alpha, \beta > 0)\)-summability of the Fourier series of functions on the \(2\)-adic additive group

DOI10.1007/s10474-014-0439-8zbMath1349.43005OpenAlexW2461955742MaRDI QIDQ2341942

Ilona Simon, György Gát

Publication date: 7 May 2015

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

Full work available at URL: https://doi.org/10.1007/s10474-014-0439-8

zbMATH Keywords

Cesàro summabilityFourier seriesalmost everywhere convergence\(p\)-adic integers

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

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• On the almost everywhere convergence of Fejér means of functions on the group of 2-adic integers
• Almost everywhere convergence of Cesáro means of Fourier series on the group of 2-adic integers
• Cesaro Summability of Double Walsh-Fourier Series
• On the divergence of the $(C,1)$ means of double Walsh-Fourier series
• Note on the differentiability of multiple integrals

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