Tensor algebras and displacement structure. IV. Invariant kernels
Functional Analysis
2007-05-23 v1 Combinatorics
Abstract
In this paper we investigate the class of invariant positive definite kernels on the free semigroup on N generators. We provide a combinatorial description of the positivity of the kernel in terms of Dyck paths and then we find a displacement equation that encodes the invariance property of the kernel.
Cite
@article{arxiv.math/0410491,
title = {Tensor algebras and displacement structure. IV. Invariant kernels},
author = {T. Banks and T. Constantinescu and Nermine El-Sissi},
journal= {arXiv preprint arXiv:math/0410491},
year = {2007}
}
Comments
19 pages, 5 figures