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Dear authors! Submission of all materials is carried out only electronically through Online Submission System in personal account. 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 ← Contents of issue |
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