Complex Box Splines

Abstract The novel concept of box spline of complex degree is introduced and several of its properties derived and discussed. These box splines of complex degree generalize and extend the classical box splines. Relations to a class of fractional derivatives defined on certain function spaces are also exhibited.

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Publication Details

Journal
Constructive Approximation
Published
2024-10-17
DOI
https://doi.org/10.1007/s00365-024-09693-1
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

Complex Box Splines

Fabio Marcelo Carvalho dos Santos, Peter Massopust
Constructive Approximation
Advanced Numerical Analysis Techniques
article

Complex Box Splines

Fabio Marcelo Carvalho dos Santos, Peter Massopust
article en

Abstract

Abstract The novel concept of box spline of complex degree is introduced and several of its properties derived and discussed. These box splines of complex degree generalize and extend the classical box splines. Relations to a class of fractional derivatives defined on certain function spaces are also exhibited.

Constructive Approximation
University of Luxembourg (LU), Technical University of Munich (DE)
Technische Universität München
Openalex Percentile: Top 80%
Advanced Numerical Analysis Techniques
DOIOpen Access PDFOpenAlex
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