Complex Box Splines

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 exhibit...

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Veröffentlicht in:arXiv.org 2023-09
Hauptverfasser: Fabio Marcelo Carvalho dos Santos, Massopust, Peter
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422