Bessel models for lowest weight representations of GSp(4,R)
| dc.creator | Pitale, Ameya | |
| dc.creator | Schmidt, Ralf | |
| dc.date | 2008-09-02 | |
| dc.date.accessioned | 2026-07-07T10:00:03Z | |
| dc.date.available | 2026-07-07T10:00:03Z | |
| dc.description | We prove uniqueness and give precise criteria for existence of split and non-split Bessel models for a class of lowest and highest weight representations of the groups GSp(4,R) and Sp(4,R) including all holomorphic and anti-holomorphic discrete series representations. Explicit formulas for the resulting Bessel functions are obtained by solving systems of differential equations. The formulas are applied to derive an integral representation for a global $L$-function on GSp(4)xGL(2) involving a vector-valued Siegel modular form of degree 2. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/0809.0482 | |
| dc.identifier | http://arxiv.org/abs/0809.0482 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168232 | |
| dc.subject | Number Theory | |
| dc.subject | 11F70 (Primary) 11F46, 11F67 (Secondary) | |
| dc.title | Bessel models for lowest weight representations of GSp(4,R) | |
| dc.type | text |