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This article is cited in 2 scientific papers (total 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.
Received: 25.06.2022 Revised: 25.06.2022 Accepted: 21.12.2022
Citation:
F. M. Talbakov, “On the absolute convergence of double Fourier series of uniform almost-periodic functions in a uniform metric”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 4, 65–75
Linking options:
https://www.mathnet.ru/eng/ivm9870 https://www.mathnet.ru/eng/ivm/y2023/i4/p65
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