| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] ICMC USP Sao Carlos, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 435, n. 1, p. 286-301, MAR 1 2016. |
| Web of Science Citations: | 8 |
| Abstract | |
For the real, continuous, isotropic and positive definite kernels on a product of spheres, one may consider not only its usual strict positive definiteness but also strict positive definiteness restrict to the points of the product that have distinct components. In this paper, we provide a characterization for strict positive definiteness in these two cases, settling all the cases but those in which one of the spheres is a circle. (C) 2015 Elsevier Inc. All rights reserved. (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: | 14/00277-5 - Positive definite kernels and integral operators generated by them |
| Grantee: | Valdir Antonio Menegatto |
| Support Opportunities: | Regular Research Grants |