Reproducing kernel Hilbert spaces associated with kernels on topological spaces

Ferreira, J. C.; Menegatto, V. A.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Reproducing kernel Hilbert spaces associated with kernels on topological spaces

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Author(s):	Ferreira, J. C. ^[1] ; Menegatto, V. A. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Fed Alfenas, Inst Ciencias Exatas, Alfenas, MG - Brazil ^[2] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, BR-05508 Sao Paulo - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Functional Analysis and its Applications; v. 46, n. 2, p. 152-154, APR 2012.
Web of Science Citations:	1
Abstract
We analyze reproducing kernel Hilbert spaces of positive definite kernels on a topological space X being either first countable or locally compact. The results include versions of Mercer's theorem and theorems on the embedding of these spaces into spaces of continuous and square integrable functions. (AU)

FAPESP's process:	10/19734-6 - Analysis of integral operators generated by positive definite kernels
Grantee:	Valdir Antonio Menegatto
Support Opportunities:	Regular Research Grants

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