Splines of complex order: Fourier, filters and fractional derivatives (Q2890683)
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scientific article; zbMATH DE number 6045050
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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