On the Absolute Convergence of Double Fourier Series of Uniform Almost Periodic Functions in a Uniform Metric

被引：1

作者：

Talbakov, F. M. ^{[1
]}

机构：

[1] Tajik State Pedag Univ, Dushanbe 734003, Tajikistan

来源：

RUSSIAN MATHEMATICS | 2023年 / 67卷 / 04期

关键词：

almost periodic functions; double Fourier series; function spectrum; Fourier coefficients; limit point at zero; Laplace transform;

D O I：

10.3103/S1066369X23040060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sufficient conditions for the absolute convergence of double Fourier series of uniform almost periodic functions are investigated in this paper in the case when the Fourier exponents have a single limit point at zero. As a structural characteristic of the function under consideration, we use the value built on the basis of the Laplace transform.

引用

页码：56 / 65

页数：10

共 13 条

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