Abstract
In this paper, we prove the almost everywhere convergence of the \((C,\alpha)\) Marczinkiewicz-means of integrable functions on the group of the two-dimensional \(2\)-adic integers.
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Funding
The first author is supported by the Hungarian National Foundation for Scientific Research (OTKA), grant no. K111651 and by project EFOP-3.6.2-16-2017-00015 supported by the Europea Union, cofinanced by the European Social Fund.
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Gát, G., Lucskai, G. Almost Everywhere Convergence of Cesàro-Marczinkiewicz Means of Two-Dimensional Fourier Series on the Group of \(2\)-Adic Integers. P-Adic Num Ultrametr Anal Appl 14, 116–137 (2022). https://doi.org/10.1134/S2070046622020030
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DOI: https://doi.org/10.1134/S2070046622020030