Reproducing kernel Hilbert spaces associated with kernels on topological spaces


Autoria(s): Ferreira, J. C.; Menegatto, Valdir Antonio
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

07/11/2013

07/11/2013

2012

Resumo

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.

FAPEMIG [APQ-03911-10]

FAPESP [2010/19734-6]

Identificador

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, NEW YORK, v. 46, n. 2, pp. 152-154, APR, 2012

0016-2663

http://www.producao.usp.br/handle/BDPI/43241

10.1007/s10688-012-0021-5

http://dx.doi.org/10.1007/s10688-012-0021-5

Idioma(s)

eng

Publicador

CONSULTANTS BUREAU/SPRINGER

NEW YORK

Relação

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

Direitos

restrictedAccess

Copyright CONSULTANTS BUREAU/SPRINGER

Palavras-Chave #REPRODUCING KERNEL HILBERT SPACES #POSITIVE DEFINITE KERNELS #MERCER'S THEORY #INTEGRAL-OPERATORS #MATHEMATICS, APPLIED #MATHEMATICS
Tipo

article

original article

publishedVersion