Positive definite kernels and lattice paths

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We discuss the structure of positive definite kernels in terms of operator models. In particular, we introduce two models, one of Hessenberg type and another one that we call near triangular. These models produce parametrizations of the kernels and we describe the combinatorial nature of these parametrizations in terms of lattice paths of Dyck and Lukasiewicz type.
12 pages, 7 figures

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Functional Analysis, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/74768

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504029
 http://arxiv.org/abs/math/0504029

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arXiv