Tensor algebras and displacement structure. IV. Invariant kernels

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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.
19 pages, 5 figures

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Functional Analysis, Combinatorics, 15A69, 47A57

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http://salesiana.dossiersoluciones.com/handle/123456789/72974

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410491
 http://arxiv.org/abs/math/0410491

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arXiv