Laguerre Functions on Symmetric Cones and recursion relations in the Real Case
| dc.creator | Aristidou, Michael | |
| dc.creator | Davidson, Mark | |
| dc.creator | 'Olafsson, Gestur | |
| dc.date | 2004-12-09 | |
| dc.date.accessioned | 2026-07-07T05:15:10Z | |
| dc.date.available | 2026-07-07T05:15:10Z | |
| dc.description | In this article we derive differential recursion relations for the Laguerre functions on the cone C of positive definite real matrices. The highest weight representations of the group Sp(n,R) play a fundamental role. Each such representation acts on a Hilbert space of holomorphic functions on the tube domain C+ i Sym(n,R). We then use the Laplace transform to carry the Lie algebra action over to L^2(C ,dm_t). The differential recursion relations result by restricting to a distinguished three dimensional subalgebra, which is isomorphic to sl(2,R). | |
| dc.identifier | https://arxiv.org/abs/math/0412199 | |
| dc.identifier | http://arxiv.org/abs/math/0412199 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73544 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Representation Theory | |
| dc.subject | 22E46, 43A85, 32M15, 44A10 | |
| dc.title | Laguerre Functions on Symmetric Cones and recursion relations in the Real Case | |
| dc.type | text |