Tensor algebras and displacement structure. IV. Invariant kernels
泛函分析
2007-05-23 v1 组合数学
摘要
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.
引用
@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}
}
备注
19 pages, 5 figures