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Multivariate complex B-splines.

Proc. SPIE 6701, 670109 (2007)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
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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Publication type Article: Journal article
Document type Scientific Article
Corresponding Author
Keywords complex splines; multivariate splines; dirichlet average; weyl fractional derivative and integral
ISSN (print) / ISBN 0277-786X
e-ISSN 1996-756X
Conference Title SPIE Optics and Photonics 2007 Conference on Mathematical Methods, 20 - 26 August 2007 San Diego, USA
Quellenangaben Volume: 6701, Issue: , Pages: 670109 Article Number: , Supplement: ,
Series Proce. SPIE
Publisher SPIE
Publishing Place Bellingham WA
Non-patent literature Publications
Reviewing status Peer reviewed