Explicit Formulas for the Waldspurger and Bessel Models
| dc.creator | Bump, Daniel | |
| dc.creator | Friedberg, Solomon | |
| dc.creator | Furusawa, Masaaki | |
| dc.date | 1994-10-20 | |
| dc.date.accessioned | 2026-07-07T09:15:11Z | |
| dc.date.available | 2026-07-07T09:15:11Z | |
| dc.description | In this paper we will study certain models of irreducible admissible representations of the split special orthogonal group $SO(2n+1)$ over a nonarchimedean local field. If $n=1$, these models were considered by Waldspurger. If $n=2$, they were considered by Novodvorsky and Piatetski-Shapiro \cite{NP}, who called them {\it Bessel models}. They arise from a variety of Rankin-Selberg integrals nad the resultos of this paper will naturally have applications to the study of L-functions. They also arise in the study of the theta correspondence between $SO(2n+1)$ and the double cover of $Sp(2n)$, and they will therefore be of importance in generalizing the work of Waldspurger. As a global application we consider the Eisenstein series on $SO(2n+1)$ formed with a cuspidal automorphic representation $π$ on $GL(n)$, and we show that its Bessel period (6.2) is essentially a product of L-series. This generalizes work of Böcherer and Mizumoto. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/math/9410202 | |
| dc.identifier | http://arxiv.org/abs/math/9410202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152932 | |
| dc.subject | Representation Theory | |
| dc.subject | Number Theory | |
| dc.title | Explicit Formulas for the Waldspurger and Bessel Models | |
| dc.type | text |