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Fourier coefficients and the approximation of functions by series in a periodic multiplicative system - MaRDI portal

Fourier coefficients and the approximation of functions by series in a periodic multiplicative system (Q1063197)

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scientific article; zbMATH DE number 3914933
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Fourier coefficients and the approximation of functions by series in a periodic multiplicative system
scientific article; zbMATH DE number 3914933

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    Fourier coefficients and the approximation of functions by series in a periodic multiplicative system (English)
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    1984
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    The author considers the periodic multiplicative system of functions, presented by \textit{N. Ya. Vilenkin} in Izv. Akad. Nauk SSSR, Ser. Mat. 11, 363-400 (1947; Zbl 0036.356) and obtains estimates for block of partial sums of Fourier series and for the Fourier coefficients in various metrics.
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    periodic multiplicative system
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    Fourier coefficients
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