Operadores integrais gerados por núcleos em multi-escalas / Integral operators generated by multi-scale kernels

AUTOR(ES)

Thaís Jordão

DATA DE PUBLICAÇÃO

2009

RESUMO

We study Mercer like kernels, a very special class of positive definite kernels possessing the description given by many results labeled as Mercers Theorem. We explore some of their properties which are needed in the development of this work and construct their native space. In the second half of the work, we consider Mercer kernels defined by a multi-scale procedure. After establishing some of its properties, we analyze integral operators generated by multi-scale kernels, in the L POT.2context, centering on the following aspects: boundedness, compactness, positiveness, eigenvalues and eigen- functions. We also consider additional properties of the operator, mainly those involving the native space of the multi-scale kernel

ASSUNTO(S)

núcleo positivo definido positive definite kernel native spaces mercer s theory operadores integrais multi-scale kernel teoria de mercer integral operators núcleos em multi-escalas espaços nativos

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