The Plancherel Formula for the Universal Covering Group of SL(2,R) Revisited
| dc.creator | Basu, Debabrata | |
| dc.date | 2007-10-11 | |
| dc.date | 2008-09-14 | |
| dc.date.accessioned | 2026-07-07T10:02:23Z | |
| dc.date.available | 2026-07-07T10:02:23Z | |
| dc.description | The Plancherel formula for the universal covering group of $SL(2, R)$ derived earlier by Pukanszky on which Herb and Wolf build their Plancherel theorem for general semisimple groups is reconsidered. It is shown that a set of unitarily equivalent representations is treated by these authors as distinct. Identification of this equivalence results in a Plancherel measure ($s\mathrm{Re}\tanhπ(s+\frac{iτ}{2}), 0\leqτ<1)$ which is different from the Pukanszky-Herb-Wolf measure ($s\mathrm{Re}\tanhπ(s+iτ), 0\leqτ<1)$. | |
| dc.description | Since a substitution changes f(z) to a multi-valued function we will remove the argument given in the introduction which was never used in the text. Everything comes out naturally from the integral kernel of the group ring | |
| dc.identifier | https://arxiv.org/abs/0710.2224 | |
| dc.identifier | http://arxiv.org/abs/0710.2224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168956 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Plancherel Formula for the Universal Covering Group of SL(2,R) Revisited | |
| dc.type | text |