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Open Access Green as soon as Postprint is submitted to ZB.
Stability results for approximation by positive definite functions on SO(3).
J. Approx. Theory 153, 170-183 (2008)
We consider interpolation methods defined by positive definite functions on a locally compact group G. Estimates for the smallest and largest eigenvalue of the interpolation matrix in terms of the localization of the positive definite function on G are presented, and we provide a method to get positive definite functions explicitly on compact semisimple Lie groups. Finally, we apply our results to construct well-localized positive definite basis functions having nice stability properties on the rotation group SO(3).
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
scattered data approximation; rotation group; positive definite functions; stability
ISSN (print) / ISBN
0021-9045
e-ISSN
1096-0430
Journal
Journal of Approximation Theory
Quellenangaben
Volume: 153,
Issue: 2,
Pages: 170-183
Publisher
Elsevier
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)