Positive definite kernels and integral operators generated by them
Strictly positive definite kernels on the sphere: an analysis of the recent results.
Eigenvalues of integral operators generated by kernels satisfying a holder conditi...
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| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, MG - Brazil
[2] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Fed Itajuba, ICE DMC, BR-37500903 Itajuba, MG - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Acta Mathematica Sinica - English Series; v. 29, n. 1, p. 93-104, JAN 2013. |
| Web of Science Citations: | 1 |
| Abstract | |
This contribution gives results on the action of the Laplace-Beltrami derivative on sufficiently smooth kernels on the sphere, those defined by absolutely and uniformly expansions generated by a family of at least continuous functions. Among other things, the results show that convenient Laplace-Beltrami derivatives of positive definite kernels on the sphere are positive definite too. We also include similar results on the action of the Laplace-Beltrami derivative on condensed spherical harmonic expansions. (AU) | |
| FAPESP's process: | 10/19734-6 - Analysis of integral operators generated by positive definite kernels |
| Grantee: | Valdir Antonio Menegatto |
| Support Opportunities: | Regular Research Grants |