20 September 2007 Multivariate complex B-splines
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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 ∈ 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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Peter Massopust, Brigitte Forster, "Multivariate complex B-splines", Proc. SPIE 6701, Wavelets XII, 670109 (20 September 2007); doi: 10.1117/12.736154; https://doi.org/10.1117/12.736154

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