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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On the linear independence of multivariate $ B$-splines. II. Complete configurations


Authors: Wolfgang A. Dahmen and Charles A. Micchelli
Journal: Math. Comp. 41 (1983), 143-163
MSC: Primary 41A15; Secondary 65D07
MathSciNet review: 701630
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Abstract: The first part of this paper is concerned with global characterizations of both the multivariate B-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 B-splines corresponding to certain configurations of knot sets.


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DOI: http://dx.doi.org/10.1090/S0025-5718-1983-0701630-8
PII: S 0025-5718(1983)0701630-8
Article copyright: © Copyright 1983 American Mathematical Society