Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions

Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions

The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids. In this paper, we investigate the concept of restricted positive definite functions and their relation w...

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Main Authors: Massoud Amini, Alireza Medghalchi
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/324821
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spelling doaj-e9c47a7bf7ed427785162d37cdf41f5a2020-11-25T01:01:56ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/324821324821Restricted Algebras on Inverse Semigroups—Part II: Positive Definite FunctionsMassoud Amini0Alireza Medghalchi1Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P.O.Box Tehran 14115-134, IranFaculty of Mathematical Sciences and Computer, Tarbiat Moalem University, 50 Taleghani Avenue, Tehran 15614, IranThe relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids. In this paper, we investigate the concept of restricted positive definite functions and their relation with restricted representations of an inverse semigroup. We also introduce the restricted Fourier and Fourier-Stieltjes algebras of an inverse semigroup and study their relation with the corresponding algebras on the associated groupoid.http://dx.doi.org/10.1155/2011/324821
collection DOAJ
language English
format Article
sources DOAJ
author Massoud Amini
Alireza Medghalchi
spellingShingle Massoud Amini
Alireza Medghalchi
Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
International Journal of Mathematics and Mathematical Sciences
author_facet Massoud Amini
Alireza Medghalchi
author_sort Massoud Amini
title Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
title_short Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
title_full Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
title_fullStr Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
title_full_unstemmed Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
title_sort restricted algebras on inverse semigroups—part ii: positive definite functions
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2011-01-01
description The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topological groupoids. In this paper, we investigate the concept of restricted positive definite functions and their relation with restricted representations of an inverse semigroup. We also introduce the restricted Fourier and Fourier-Stieltjes algebras of an inverse semigroup and study their relation with the corresponding algebras on the associated groupoid.
url http://dx.doi.org/10.1155/2011/324821
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AT alirezamedghalchi restrictedalgebrasoninversesemigroupspartiipositivedefinitefunctions
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