Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
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.
Altmetric
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
Zeitschrift
Numerical Functional Analysis and Optimization
Quellenangaben
Band: 29,
Heft: 9-10,
Seiten: 1082-1107
Verlag
Taylor & Francis
Nichtpatentliteratur
Publikationen
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Biomathematics and Biometry (IBB)