| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Fed Sao Joao Del Rei, DEMAT, Praca Frei Orlando 170, BR-36307352 Sao Joao Del Rei, MG - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Symmetry Integrability and Geometry-Methods and Applications; v. 14, 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
For two continuous and isotropic positive definite kernels on the same compact two-point homogeneous space, we determine necessary and sufficient conditions in order that their product be strictly positive definite. We also provide a similar characterization for kernels on the space-time setting G x S-d, where G is a locally compact group and S-d is the unit sphere in Rd+1, keeping isotropy of the kernels with respect to the S-d component. Among other things, these results provide new procedures for the construction of valid models for interpolation and approximation on compact two-point homogeneous spaces. (AU) | |
| FAPESP's process: | 16/09906-0 - Harmonic analysis, approximation theory and applications |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 14/14380-2 - Positive definite functions on spheres: the matricial and parametrical versions |
| Grantee: | Rafaela Neves Bonfim |
| Support Opportunities: | Scholarships in Brazil - Doctorate |