Multivariate Complex BSplines, Dirichlet Averages and Difference Operators

Abstract : For the Schoenberg B-splines, interesting relations between their functional representation, Dirichlet averages and difference operators are known. We use these relations to extend the B-splines to an arbitrary (infinite) sequence of knots and to higher dimensions. A new Fourier domain representation of the multidimensional complex B-spline is given.
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Brigitte Forster, Peter Massopust. Multivariate Complex BSplines, Dirichlet Averages and Difference Operators. SAMPTA'09, May 2009, Marseille, France. pp.General session. ⟨hal-00453453⟩

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