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.