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JAT
2010
61views more  JAT 2010»
9 years 12 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...
Peter Massopust, Brigitte Forster
JAT
2010
70views more  JAT 2010»
9 years 12 months ago
Density of eigenvalues and its perturbation invariance in unitary ensembles of random matrices
We generally study the density of eigenvalues in unitary ensembles of random matrices from the recurrence coefficients with regularly varying conditions for the orthogonal polynomi...
Dang-Zheng Liu, Zheng-Dong Wang, Kui-Hua Yan
JAT
2010
77views more  JAT 2010»
9 years 12 months ago
Quadrature formula for computed tomography
We give a bivariate analog of the Micchelli-Rivlin quadrature for computing the integral of a function over the unit disk using its Radon projections. AMS subject classification:...
Borislav Bojanov, Guergana Petrova
JAT
2010
51views more  JAT 2010»
9 years 8 months ago
Optimal adaptive computations in the Jaffard algebra and localized frames
We study the efficient numerical solution of infinite matrix equations Au = f for a matrix A in the Jaffard algebra. These matrices appear naturally via frame discretizations in m...
Stephan Dahlke, Massimo Fornasier, Karlheinz Gr&ou...
JAT
2010
120views more  JAT 2010»
9 years 12 months ago
Error bounds for anisotropic RBF interpolation
We present error bounds for the interpolation with anisotropically transformed radial basis functions for both function and its partial derivatives. The bounds rely on a growth fu...
Richard K. Beatson, Oleg Davydov, Jeremy Levesley
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