A remark on Whittaker functions on SL\((n,{\mathbb R})\).
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Publication:1777621
DOI10.5802/aif.2104zbMath1064.11040OpenAlexW2313483878MaRDI QIDQ1777621
Publication date: 25 May 2005
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_2_483_0
Other groups and their modular and automorphic forms (several variables) (11F55) Generalized hypergeometric series, ({}_pF_q) (33C20)
Related Items (4)
New formulas for Whittaker functions on \(\text{GL}(n,\mathbb R)\) ⋮ Calculus of principal series Whittaker functions on \(\mathrm{SL}(n, \mathbb R)\) ⋮ Evaluating Jacquet’s $\mathbf {{\rm GL}(n)}$ Whittaker function ⋮ Calculus of principal series Whittaker functions on \(\text{GL}(3,\mathbb C)\)
Cites Work
- Automorphic forms constructed from Whittaker vectors
- Whittaker functions on semisimple Lie groups
- Automorphic forms on GL(3,\({\mathbb{R}})\)
- On explicit integral formulas for \(\text{GL}(n, \mathbb R)\)-Whittaker functions. With an appendix by Daniel Bump, Solomon Friedberg, and Jeffrey Hoffstein
- Poincaré series for GL(3,\({\mathbb{R}})\)-Whittaker functions
- The multiplicity one theorem for \(\mathrm{GL}_n\)
- On Whittaker vectors and representation theory
- The reciprocal of the beta function and \(GL(n,R)\) Whittaker functions
- GL(4, ℝ)-Whittaker Functions and 4 F 3 (1) Hypergeometric Series
- Fonctions de Whittaker associées aux groupes de Chevalley
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