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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2023 Number 4, Pages 65–75 (Mi ivm9870)

This article is cited in 2 papers

On the absolute convergence of double Fourier series of uniform almost-periodic functions in a uniform metric

F. M. Talbakov

S. Aini Tajik State Pedagogical University, 121 Rudaki str., Dushanbe, 734003 Tajikistan

Abstract: Sufficient conditions for the absolute convergence of double Fourier series of uniform almost periodic functions are investigated in the 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.

Keywords: almost-periodic functions, double Fourier series, function spectrum, Fourier coefficients, limit point at zero, Laplace transform.

UDC: 517.518

Received: 25.06.2022
Revised: 25.06.2022
Accepted: 21.12.2022

DOI: 10.26907/0021-3446-2023-4-65-75



© Steklov Math. Inst. of RAS, 2025