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Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
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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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
scattered data approximation; rotation group; positive definite functions; stability
ISSN (print) / ISBN
0021-9045
e-ISSN
1096-0430
Zeitschrift
Journal of Approximation Theory
Quellenangaben
Band: 153,
Heft: 2,
Seiten: 170-183
Verlag
Elsevier
Begutachtungsstatus
Peer reviewed
Institut(e)
Institute of Biomathematics and Biometry (IBB)