Restricted algebras on inverse semigroups III, Fourier algebra
| dc.creator | Amini, Massoud | |
| dc.creator | Medghalchi, Alireza | |
| dc.date | 2003-08-27 | |
| dc.date.accessioned | 2026-07-07T05:00:38Z | |
| dc.date.available | 2026-07-07T05:00:38Z | |
| dc.description | The Fourier and Fourier-Stieltjes algebras $A(G)$ and $B(G)$ of a locally compact group $G$ are introduced and studied in 60's by Piere Eymard in his PhD thesis. If $G$ is a locally compact abelian group, then $A(G)\simeq L^1(\hat{G})$, and $B(G)\simeq M(\hat{G})$, via the Fourier and Fourier-Stieltjes transforms, where $\hat{G}$ is the Pontryagin dual of $G$. Recently these algebras are defined on a (topological or measured) groupoid and have shown to share many common features with the group case. This is the last in a series of papers in which we have investigated a "restricted" form of these algebras on a unital inverse semigroup $S$. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0308258 | |
| dc.identifier | http://arxiv.org/abs/math/0308258 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68392 | |
| dc.subject | Operator Algebras | |
| dc.subject | 43A35, 43A20 | |
| dc.title | Restricted algebras on inverse semigroups III, Fourier algebra | |
| dc.type | text |