Splines of complex order: Fourier, filters and fractional derivatives (Q2890683)

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scientific article; zbMATH DE number 6045050
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Splines of complex order: Fourier, filters and fractional derivatives
scientific article; zbMATH DE number 6045050

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    11 June 2012
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    complex B-splines
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    filters
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    complex splines
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    sampling problems
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    two-scale relations
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    Dirichlet means
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    ridge functions
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    multivariate splines
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    fractional derivatives and integrals
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    Mittag-Leffler function
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    Lizorkin space
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    Splines of complex order: Fourier, filters and fractional derivatives (English)
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    Complex (B-)splines are generalisations of the classical univariate, polynomial splines, and they are studied in detail in this article. Their Fourier-transforms are given, divided differences and two-scale relations, and splines with complex order are studied.
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