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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Hauptverfasser: Santos, Fabio Marcelo Carvalho dos, Massopust, Peter
Format: Artikel
Sprache:eng
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Beschreibung
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.
DOI:10.48550/arxiv.2309.02131