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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/324821 |
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| author | Massoud Amini Alireza Medghalchi |
| author_facet | Massoud Amini Alireza Medghalchi |
| author_sort | Massoud Amini |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-e9c47a7bf7ed427785162d37cdf41f5a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e9c47a7bf7ed427785162d37cdf41f5a2025-08-20T03:26:34ZengWileyInternational 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 |
| spellingShingle | Massoud Amini Alireza Medghalchi Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions |
| title_sort | restricted algebras on inverse semigroups part ii positive definite functions |
| url | http://dx.doi.org/10.1155/2011/324821 |
| work_keys_str_mv | AT massoudamini restrictedalgebrasoninversesemigroupspartiipositivedefinitefunctions AT alirezamedghalchi restrictedalgebrasoninversesemigroupspartiipositivedefinitefunctions |