Positive definite kernels and lattice paths

Details Positive definite kernels and lattice paths Positive definite kernels and lattice paths

2005-04-01

arxiv.org/abs/math/0504029v1

Mathematics

Functional Analysis

12 pages, 7 figures

Scientific paper

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.

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