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Open Access Green as soon as Postprint is submitted to ZB.
Approximation by positive definite functions on compact groups.
Numer. Funct. Anal. Optim. 29, 1082-1107 (2008)
We consider approximation methods defined by translates of a positive definite function on a compact group. A characterization of the native space generated by a positive definite function on a compact group is presented. Starting from Bochner's theorem, we construct examples of well-localized positive definite central functions on the rotation group SO(3). Finally, the stability of the interpolation problem and the error analysis for the given examples are studied in detail.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Positive definite functions; Rotation group; Scattered data approximation; radial basis functions; interpolation; kernels; spaces
ISSN (print) / ISBN
0163-0563
e-ISSN
1532-2467
Quellenangaben
Volume: 29,
Issue: 9-10,
Pages: 1082-1107
Publisher
Taylor & Francis
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)