Geodesic
On the absolute convergence of double Fourier series of uniform almost-periodic functions in a uniform metric
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2023), pp. 65-75

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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, limit point at zero
Mots-clés : Fourier coefficients, Laplace transform. 
@article{IVM_2023_4_a5,
     author = {F. M. Talbakov},
     title = {On the absolute convergence of double {Fourier} series of uniform almost-periodic functions in a uniform metric},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {65--75},
     publisher = {mathdoc},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_4_a5/}
}
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F. M. Talbakov. On the absolute convergence of double Fourier series of uniform almost-periodic functions in a uniform metric. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2023), pp. 65-75. http://geodesic.mathdoc.fr/item/IVM_2023_4_a5/