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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 WendlandWe 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 MathematicsISSN
1019-7168Publisher
Springer VerlagExternal DOI
Issue
1Volume
4Page range
389-396Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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