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Publication
Mathematics of Computation
Paper
On the linear independence of multivariate b-splines. Complete configurations
Abstract
The first part of this paper is concerned with global characterizations of both the multivariate ß-spline and the multivariate truncated power function as smooth piecewise polynomials. In the second part of the paper we establish combinatorial criteria for the linear independence of multivariate ß-splines corresponding to certain configurations of knot sets. © 1983 American Mathematical Society.