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

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Abstract

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.

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Authors and Affiliations

  1. Tajik State Pedagogical University, 734003, Dushanbe, Tajikistan

    F. M. Talbakov

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  1. F. M. Talbakov
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Correspondence to F. M. Talbakov.

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Talbakov, F.M. On the Absolute Convergence of Double Fourier Series of Uniform Almost Periodic Functions in a Uniform Metric. Russ Math. 67, 56–65 (2023). https://doi.org/10.3103/S1066369X23040060

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  • DOI: https://doi.org/10.3103/S1066369X23040060

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