Laplace-Beltrami differentiability of positive definite kernels on the sphere

Autor(es)

Castro, M. H. ^[1] ; Menegatto, V. A. ^[2] ; Oliveira, C. P. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, MG - Brazil

^[2] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil

^[3] Univ Fed Itajuba, ICE DMC, BR-37500903 Itajuba, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Acta Mathematica Sinica - English Series; v. 29, n. 1, p. 93-104, JAN 2013.
• Citações Web of Science: 1

Resumo

This contribution gives results on the action of the Laplace-Beltrami derivative on sufficiently smooth kernels on the sphere, those defined by absolutely and uniformly expansions generated by a family of at least continuous functions. Among other things, the results show that convenient Laplace-Beltrami derivatives of positive definite kernels on the sphere are positive definite too. We also include similar results on the action of the Laplace-Beltrami derivative on condensed spherical harmonic expansions. (AU)

• Processo FAPESP: 10/19734-6 - Análise de operadores integrais gerados por núcleos positivos definidos
• Beneficiário: Valdir Antonio Menegatto
• Modalidade de apoio: Auxílio à Pesquisa - Regular