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JAT
2010

Multivariate complex B-splines and Dirichlet averages

9 years 10 months ago
Multivariate complex B-splines and Dirichlet averages
Abstract. The notion of complex B-spline is extended to a multivariate setting by means of ridge functions employing the known geometric relationship between ordinary B-splines and multivariate B-splines. To derive 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 presented.
Peter Massopust, Brigitte Forster
Added 28 Jan 2011
Updated 28 Jan 2011
Type Journal
Year 2010
Where JAT
Authors Peter Massopust, Brigitte Forster
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