Tensor algebras and displacement structure. IV. Invariant kernels

Details Tensor algebras and displacement structure. IV. Invariant kernels Tensor algebras and displacement structure. IV. Invariant kernels

2004-10-22

arxiv.org/abs/math/0410491v1

Mathematics

Functional Analysis

19 pages, 5 figures

Scientific paper

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.

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