De la Vallée-Poussin means of Fourier series for quadratic spectrum and power density spectra (Q656383)
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scientific article; zbMATH DE number 5998443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | De la Vallée-Poussin means of Fourier series for quadratic spectrum and power density spectra |
scientific article; zbMATH DE number 5998443 |
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De la Vallée-Poussin means of Fourier series for quadratic spectrum and power density spectra (English)
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17 January 2012
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The author develops a new method for examining a trigonometric series with spectra of various types. He obtains a most general form of multiplicative inequalities involving a lower bound for the integral norm of de la Vallée-Poussin means of Fourier series of functions of Hardy and Lebesgue spaces. Finally, necessary conditions on the coefficients of a trigonometric series are established for the series to be a Fourier series.
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de la Vallée-Poussin series
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power Fourier series
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summability
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trigonometric series
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