Geodesic
On the absolute convergence of Fourier series of almost periodic functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2024), pp. 67-79 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper investigates sufficient conditions for the absolute convergence of trigonometric Fourier series of almost-periodic functions in the sense of Besikovitch in the case when the Fourier exponents have a single limiting point at infinity. A higher-order modulus of continuity is used as a structural characteristic of the function under consideration.
Keywords: almost-periodic Besikovitch function, Fourier series, function spectrum, modulus of continuity, trigonometric polynomial.
Mots-clés : Fourier coefficients 
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Yu. Kh. Khasanov; F. M. Talbakov. On the absolute convergence of Fourier series of almost periodic functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2024), pp. 67-79. http://geodesic.mathdoc.fr/item/IVM_2024_4_a6/

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