arXiv:math/0410491 Abstract

arXiv:math/0410491 [math.FA]Abstract References Reviews Resources

Tensor algebras and displacement structure. IV. Invariant kernels

T. Banks, T. Constantinescu, Nermine El-Sissi

Published 2004-10-22Version 1

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.

Comments: 19 pages, 5 figures

Categories: math.FA, math.CO

Subjects: 15A69, 47A57

Keywords: displacement structure, invariant kernels, tensor algebras, invariant positive definite kernels, free semigroup

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