Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation

This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting. For a wide class of compact, connected C ∞ Riemannian manifolds, including the important cases of spheres and SO (3), and using techniques involving differential geometry and Lie...

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Bibliographic Details
Published in:	Foundations of computational mathematics Vol. 12; no. 5; pp. 625 - 670
Main Authors:	Hangelbroek, T., Narcowich, F. J., Ward, J. D.
Format:	Journal Article
Language:	English
Published:	New York Springer-Verlag 01.10.2012 Springer Nature B.V
Subjects:	Applications of Mathematics Computational mathematics Computer Science Constants Differential geometry Economics Interpolation Kernels Linear and Multilinear Algebras Manifolds Math Applications in Computer Science Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Matrix Theory Numerical Analysis Splines Topological manifolds Manifold Positive definite kernels 46E35 41A63 46E22 Sobolev spaces Least squares approximation 41A05
ISSN:	1615-3375, 1615-3383
Online Access:	Get full text
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