Positive definite kernels and lattice paths
Functional Analysis
2007-05-23 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.math/0504029,
title = {Positive definite kernels and lattice paths},
author = {T. Constantinescu and Nermine El-Sissi},
journal= {arXiv preprint arXiv:math/0504029},
year = {2007}
}
Comments
12 pages, 7 figures