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Stability results for approximation by positive definite functions on compact groups
| Content Provider | Semantic Scholar |
|---|---|
| Author | Schmid, Dominik |
| Copyright Year | 2007 |
| Abstract | We consider interpolation methods defined by positive definite functions on a compact group. 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). AMS Subject Classification(2000): 41A05, 43A35, 41A30, 43A75 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://ibb.gsf.de/preprints/2007/pp07-06.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | ABLEPHARON-MACROSTOMIA SYNDROME Approximation Basis function Eigenvalue Estimated Interpolation Imputation Technique Largest VHDL-AMS |
| Content Type | Text |
| Resource Type | Article |
