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Erb, W.* ; Filbir, F.

Approximation by positive definite functions on compact groups.

Numer. Funct. Anal. Optim. 29, 1082-1107 (2008)
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Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter Positive definite functions; Rotation group; Scattered data approximation; radial basis functions; interpolation; kernels; spaces
ISSN (print) / ISBN 0163-0563
e-ISSN 1532-2467
Quellenangaben Band: 29, Heft: 9-10, Seiten: 1082-1107 Artikelnummer: , Supplement: ,
Verlag Taylor & Francis
Begutachtungsstatus Peer reviewed