| Full text | |
| Author(s): |
Guella, J. C.
;
Menegatto, V. A.
;
Peron, A. P.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Banach Journal of Mathematical Analysis; v. 10, n. 4, p. 671-685, OCT 2016. |
| Web of Science Citations: | 8 |
| Abstract | |
We present a characterization for the continuous, isotropic, and positive definite kernels on a product of spheres along the lines of a classical result of Schoenberg on positive definiteness on a single sphere. We also discuss a few issues regarding the characterization, including topics for future investigation. (AU) | |
| FAPESP's process: | 12/22161-3 - Strictly positive definite kernels on the sphere: an analysis of the recent results. |
| Grantee: | Jean Carlo Guella |
| Support Opportunities: | Scholarships in Brazil - Master |
| FAPESP's process: | 14/25796-5 - (Strict) positive definite functions and differentiability |
| Grantee: | Ana Paula Peron |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/00277-5 - Positive definite kernels and integral operators generated by them |
| Grantee: | Valdir Antonio Menegatto |
| Support Opportunities: | Regular Research Grants |