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On Hermite-Fourier series (Q1204103)

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scientific article; zbMATH DE number 126041
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English
On Hermite-Fourier series
scientific article; zbMATH DE number 126041

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    On Hermite-Fourier series (English)
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    1 March 1993
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    The present work of the author is a sequel to his earlier paper (*) [Acta Math. Hung. 57, No. 1/2, 169-179 (1991; Zbl 0757.41027)]. Several results relating the Hermite-Fourier series are investigated including the norm estimates for the ordinary and conjugate Abel-Poisson means. Some results of Alexits-type discussed in (*) are also generalized for the case \(p=\infty\) in this paper.
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    conjugate function
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    saturation
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    Hermite-Fourier series
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    norm estimates
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    conjugate Abel-Poisson means
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