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Almost Everywhere Convergence of Cesàro-Marczinkiewicz Means of Two-Dimensional Fourier Series on the Group of $$2$$ -Adic Integers
p-Adic Numbers, Ultrametric Analysis and Applications Pub Date : 2022-05-23 , DOI: 10.1134/s2070046622020030
György Gát , Gábor Lucskai

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.



中文翻译:

二维傅里叶级数在 $$2$$ 群上的 Cesàro-Marczinkiewicz 均值几乎处处收敛 -Adic Integers

摘要

在本文中,我们证明了可积函数的\((C,\alpha)\) Marczinkiewicz-means 在二维\(2\) -adic 整数的群上几乎处处收敛。

更新日期:2022-05-23
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