Gelfand pairs on the Heisenberg group and Schwartz functions
| dc.creator | Astengo, Francesca | |
| dc.creator | Di Blasio, Bianca | |
| dc.creator | Ricci, Fulvio | |
| dc.date | 2008-05-25 | |
| dc.date.accessioned | 2026-07-07T09:40:50Z | |
| dc.date.available | 2026-07-07T09:40:50Z | |
| dc.description | Let $\Hn$ be the $(2n+1)$-dimensional Heisenberg group and $K$ a compact group of automorphisms of $\Hn$ such that $(K\ltimes \Hn,K)$ is a Gelfand pair. We prove that the Gelfand transform is a topological isomorphism between the space of $K$-invariant Schwartz functions on $\Hn$ and the space of Schwartz function on a closed subset of $\R^s$ homeomorphic to the Gelfand spectrum of the Banach algebra of $K$-invariant integrable functions on $\Hn$. | |
| dc.description | 28 pages | |
| dc.identifier | https://arxiv.org/abs/0805.3809 | |
| dc.identifier | http://arxiv.org/abs/0805.3809 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161618 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 43A80 (Primary); 22E25 (Secondary) | |
| dc.title | Gelfand pairs on the Heisenberg group and Schwartz functions | |
| dc.type | text |