Multivariate Complex BSplines, Dirichlet Averages and Difference Operators

Brigitte Forster (1, 2) , Peter Massopust (1, 2)

1 Zentrum Mathematik
2 Institut für Biomathematik und Biometrie

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.

Domaines: Analyse classique [math.CA]; Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Brigitte Forster, Peter Massopust. Multivariate Complex BSplines, Dirichlet Averages and Difference Operators. SAMPTA'09, May 2009, Marseille, France. pp.General session. ⟨hal-00453453⟩