Positive definite kernels and lattice paths
泛函分析
2007-05-23 v1 组合数学
摘要
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.
引用
@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}
}
备注
12 pages, 7 figures