Tensor algebras and displacement structure. IV. Invariant kernels

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

doi:10.1016/j.laa.2005.03.013

Tensor algebras and displacement structure. IV. Invariant kernels

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

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we investigate a 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.

Original language	English
Pages (from-to)	83-103
Number of pages	21
Journal	Linear Algebra and Its Applications
Volume	405
Issue number	1-3
DOIs	https://doi.org/10.1016/j.laa.2005.03.013
Publication status	Published - 1 Aug 2005

Keywords

Displacement structure
Dyck paths
Invariant positive definite kernels

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10.1016/j.laa.2005.03.013

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title = "Tensor algebras and displacement structure. IV. Invariant kernels",

abstract = "In this paper we investigate a 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.",

keywords = "Displacement structure, Dyck paths, Invariant positive definite kernels",

author = "T. Banks and T. Constantinescu and Nermine El-Sissi",

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AU - Constantinescu, T.

AU - El-Sissi, Nermine

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AB - In this paper we investigate a 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.

KW - Displacement structure

KW - Dyck paths

KW - Invariant positive definite kernels

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M3 - Article

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

Tensor algebras and displacement structure. IV. Invariant kernels

Abstract

Keywords

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