Poincaré series for GL(3,\({\mathbb{R}})\)-Whittaker functions
From MaRDI portal
Publication:912897
DOI10.1215/S0012-7094-89-05833-XzbMath0699.10041OpenAlexW1999019146MaRDI QIDQ912897
Publication date: 1989
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-89-05833-x
Analysis on real and complex Lie groups (22E30) Theta series; Weil representation; theta correspondences (11F27)
Related Items
Unramified Whittaker functions for \(GL(3,\mathbb{R})\) ⋮ New formulas for Whittaker functions on \(\text{GL}(n,\mathbb R)\) ⋮ Exponential functionals of Brownian motion and class-one Whittaker functions ⋮ A remark on Whittaker functions on SL\((n,{\mathbb R})\). ⋮ Calculus of principal series Whittaker functions on \(\text{GL}(3,\mathbb C)\) ⋮ On principal series Whittaker functions on \(\text{Sp}(2,\mathbb R)\) ⋮ On explicit integral formulas for \(\text{GL}(n, \mathbb R)\)-Whittaker functions. With an appendix by Daniel Bump, Solomon Friedberg, and Jeffrey Hoffstein ⋮ The reciprocal of the beta function and \(GL(n,R)\) Whittaker functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Automorphic forms constructed from Whittaker vectors
- Whittaker functions on semisimple Lie groups
- Automorphic forms on GL(3,\({\mathbb{R}})\)
- On Mellin transforms of unramified Whittaker functions on GL(3,C)
- Theory of Eisenstein series for the group SL(3,R) and its application to a binary problem
- The multiplicity one theorem for \(\mathrm{GL}_n\)
- On Whittaker vectors and representation theory
- A Global Approach to the Rankin-Selberg Convolution for GL(3, Z)
- A class of nonanalytic automorphic functions
- Fonctions de Whittaker associées aux groupes de Chevalley
