| Full text | |
| Author(s): |
Guella, Jean C.
;
Menegatto, Valdir A.
;
Peron, Aria P.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Symmetry Integrability and Geometry-Methods and Applications; v. 12, 2016. |
| Web of Science Citations: | 6 |
| Abstract | |
We present, among other things, a necessary and sufficient condition for the strict positive definiteness of an isotropic and positive definite kernel on the cartesian product of a circle and a higher dimensional sphere. The result complements similar results previously obtained for strict positive definiteness on a product of circles {[}Positivity, to appear, arXiv:1505.01169] and on a product of high dimensional spheres {[}J. Math. Anal. Appl. 435 (2016), 286-301, arXiv:1505.03695]. (AU) | |
| FAPESP's process: | 16/03015-7 - Positive definite functions |
| Grantee: | Ana Paula Peron |
| Support Opportunities: | Scholarships abroad - Research |
| 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 |