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<p>In this paper, we examine sufficient conditions for the absolute convergence of multiple Fourier series of uniform almost periodic functions in the case where the Fourier exponents have a single limit point at zero. The structural characteristic of the function considered is constructed on the basis of the Laplace transform.</p>

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ABSOLUTE CONVERGENCE OF MULTIPLE FOURIER SERIES FOR ALMOST PERIODIC FUNCTIONS IN THE UNIFORM METRIC

  • 期刊论文

  • 发表日期：

    2026年8月4日

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  • F. M. Talbakov

摘要

In this paper, we examine sufficient conditions for the absolute convergence of multiple Fourier series of uniform almost periodic functions in the case where the Fourier exponents have a single limit point at zero. The structural characteristic of the function considered is constructed on the basis of the Laplace transform.