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    Radial basis functions for the sphere

    Hubbert, Simon and Baxter, Brad J.C. (2001) Radial basis functions for the sphere. In: Haussmann, W. and Jetter, K. and Reimer, M. (eds.) Recent Progress in Multivariate Approximation. 4th International Conference, September 2000, Witten-Bommerholz. International Series of Numerical Mathematics 137. Basel: Birkhauser, pp. 33-47. ISBN 3764365056.


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    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.


    Item Type: Book Section
    Additional Information: The original publication is available at
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sandra Plummer
    Date Deposited: 25 Jul 2006
    Last Modified: 09 Aug 2023 12:29


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