Almost everywhere convergence of Cesàro-Marcinkiewicz means of two-dimensional Fourier series on the group of \(2\)-adic integers

DOI10.1134/S2070046622020030zbMath1498.43004OpenAlexW4281288114MaRDI QIDQ2152002

Gábor Lucskai, György Gát

Publication date: 5 July 2022

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046622020030

zbMATH Keywords

maximal operatorscharacter systemgroup of 2-adic integersconvergence of two-dimensional Cesàro-Marcinkiewicz means

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Non-Archimedean analysis (26E30) Summability in abstract structures (40J05)

Cites Work

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• Zak transforms on binary fields
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• On (C,1) summability for Vilenkin-like systems
• Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers
• Fourier Analysis on Local Fields. (MN-15)
• Norlund Summability of Double Fourier Series
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES

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