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

Araştırma sonucu: Dergi katkısı › Makale › bilirkişi

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	83-103
Sayfa sayısı	21
Dergi	Linear Algebra and Its Applications
Hacim	405
Basın numarası	1-3
DOI'lar	https://doi.org/10.1016/j.laa.2005.03.013
Yayın durumu	Yayınlanan - 1 Ağu 2005
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1016/j.laa.2005.03.013

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Bundan alıntı yap

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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",

year = "2005",

month = aug,

day = "1",

doi = "10.1016/j.laa.2005.03.013",

language = "English",

volume = "405",

pages = "83--103",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "1-3",

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TY - JOUR

T1 - Tensor algebras and displacement structure. IV. Invariant kernels

AU - Banks, T.

AU - Constantinescu, T.

AU - El-Sissi, Nermine

PY - 2005/8/1

Y1 - 2005/8/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=21244464412&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2005.03.013

DO - 10.1016/j.laa.2005.03.013

M3 - Article

AN - SCOPUS:21244464412

SN - 0024-3795

VL - 405

SP - 83

EP - 103

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

ER -

Tensor algebras and displacement structure. IV. Invariant kernels

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