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Massopust, P. ; Forster, P.

Multivariate complex B-splines.

Proc. SPIE 6701, 670109 (2007)
DOI
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
We extend the notion of complex B-splines to a multivariate setting by employing the relationship between ordinary B-splines and multivariate B-splines by means of ridge functions. In order to obtain properties of complex B-splines in Rs, 1 < s [is-an-element-of] N, the Dirichlet average has to be generalized to include infinite dimensional simplices. Based on this generalization several identities of multivariate complex B-splines are exhibited.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter complex splines; multivariate splines; dirichlet average; weyl fractional derivative and integral
ISSN (print) / ISBN 0277-786X
e-ISSN 1996-756X
Konferenztitel SPIE Optics and Photonics 2007 Conference on Mathematical Methods, 20 - 26 August 2007 San Diego, USA
Zeitschrift Proceedings of SPIE
Quellenangaben Band: 6701, Heft: , Seiten: 670109 Artikelnummer: , Supplement: ,
Reihe Proce. SPIE
Verlag SPIE
Verlagsort Bellingham WA
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Biomathematics and Biometry (IBB)