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Radial basis functions for the sphere

By Simon Hubbert and Brad J.C. Baxter

Abstract

In this paper we compute the ultraspherical series expansions for the more commonly used radial basis functions. In several special cases we provide asymptotic estimates for the decay rate of the coefficients involved. knowledge of the decay rate of these coefficients is useful because they enable error estimates for spherical interpolation

Topics: ems
Publisher: Birkhauser
OAI identifier: oai:eprints.bbk.ac.uk.oai2:396

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