Harmonic Analysis on the quotient $\Q^\times\ltimes\Q\bs\A^1\ltimes \A$
| dc.creator | Deitmar, Anton | |
| dc.date | 1999-09-03 | |
| dc.date.accessioned | 2026-07-07T05:30:39Z | |
| dc.date.available | 2026-07-07T05:30:39Z | |
| dc.description | Let $G$ be the semidirect product $\A^1\ltimes \A$ of the adeles and the norm 1 ideles. Let $\Ga$ be the discrete subgroup $\Q^\times\ltimes\Q$. In this paper the trace formula for this setting is established and used to give the complete decomposition of the $G$-representation on $L^2(\Ga\bs G)$. It turns out that every character of the norm-1 idele class group gives a one dimensional isotype and the complement of those consists of one irreducible representation. | |
| dc.description | LATEX, 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/9909023 | |
| dc.identifier | http://arxiv.org/abs/math/9909023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79058 | |
| dc.subject | Number Theory | |
| dc.title | Harmonic Analysis on the quotient $\Q^\times\ltimes\Q\bs\A^1\ltimes \A$ | |
| dc.type | text |