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Яндекс.Метрика

DOI: 10.23671/VNC.2014.3.10236

About relationship between summability of almost periodic functions and Fouriers coefficients

Khasanov, Yu. Kh.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 3.
Abstract:
We generalize Paley's theorem for Bezicovich and Stepanov almost periodic functions on arbitrary trigonometric system. It is proved that for any trigonometric
series under some conditions there exists an almost-periodic function which  the given series is its Fourier series.
Keywords: almost periodic functions, Fourier series, Fourier coefficients, relationship summability, series convergence
Language: Russian Download the full text  
For citation: Khasanov Yu. Kh. About relationship between summability of almost periodic functions and Fouriers coefficients // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 3, pp.47-54. DOI 10.23671/VNC.2014.3.10236
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