Differentiable positive definite kernels on spheres

• Autorzy: Menegatto V. A. , Oliveira C. P. , Peron A. P.
• Języki publikacji: EN

Abstrakty

EN

We analyze term-by-term differentiability of uniformly convergent series of the form [wzór], where Sm-1 is the unit sphere in Rm, pk ≥ 0, k = 0,1,..., [wzór] Pk > 0 , and {Yk} is a sequence of spherical harmonics or even more general functions. Since this class of kernels includes the continuous positive definite kernels on ,Sm-1, the results in this paper will show that, under certain conditions, the action of convenient differential operators on positive definite (strictly positive definite) kernels on Sm-1 generate positive definite kernels.

Słowa kluczowe

EN

spheres; positive definiteness; differentiable kernels; kernel expansions

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2009
• Tom: Vol. 15, nr 1
• Strony: 101--117
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Menegatto V. A.

autor

Oliveira C. P.

autor

Peron A. P.

• Departamento de Matematica ICMC-USP-Sao Carlos,

Bibliografia

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