PuSH - Publikationsserver des Helmholtz Zentrums München

Erb, W.* ; Filbir, F.

Approximation by positive definite functions on compact groups.

Numer. Funct. Anal. Optim. 29, 1082-1107 (2008)
DOI Verlagsversion bestellen
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.
Weitere Metriken?
Zusatzinfos bearbeiten [➜Einloggen]
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