Strictly positive definite kernels on a product of spheres

Autor(es)

Guella, J. C. ^[1] ; Menegatto, V. A. ^[1]

Afiliação do(s) autor(es)

^[1] ICMC USP Sao Carlos, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 435, n. 1, p. 286-301, MAR 1 2016.
• Citações Web of Science: 8

Resumo

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)

• Processo FAPESP: 12/22161-3 - Núcleos estritamente positivos definidos na esfera: uma analise a luz de resultados recentes
• Beneficiário: Jean Carlo Guella
• Modalidade de apoio: Bolsas no Brasil - Mestrado
• Processo FAPESP: 14/00277-5 - Núcleos positivos definidos e operadores integrais associados
• Beneficiário: Valdir Antonio Menegatto
• Modalidade de apoio: Auxílio à Pesquisa - Regular