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Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree

journal contribution
posted on 2023-06-08, 05:10 authored by Holger Wendland
We construct a new class of positive definite and compactly supported radial functions which consist of a univariate polynomial within their support. For given smoothness and space dimension it is proved that they are of minimal degree and unique up to a constant factor. Finally, we establish connections between already known functions of this kind.

History

Publication status

  • Published

Journal

Advances in Computational Mathematics

ISSN

1019-7168

Publisher

Springer Verlag

Issue

1

Volume

4

Page range

389-396

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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