当前位置:
X-MOL 学术
›
P-Adic Num. Ultrametr. Anal. Appl.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
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
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
更新日期:2022-05-23
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。