The reciprocal of the beta function and \(GL(n,R)\) Whittaker functions

DOI10.5802/AIF.1390zbMath0801.33001OpenAlexW2325711322MaRDI QIDQ1323151

Eric Stade

Publication date: 16 June 1994

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_1_93_0

zbMATH Keywords

beta functionautomorphic formsWhittaker functions

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Gamma, beta and polygamma functions (33B15) Fourier coefficients of automorphic forms (11F30)

Related Items (3)

On the analytic extension of Stirling numbers of the first kind ⋮ A remark on Whittaker functions on SL\((n,{\mathbb R})\). ⋮ On the nonexistence of automorphic eigenfunctions of exponential growth on \(\mathrm{SL}(3,\mathbb Z)\setminus \mathrm{SL}(3,\mathbb R)/\mathrm{SO}(3,\mathbb R)\)

Cites Work

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• 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
• Unramified Whittaker functions for \(GL(3,\mathbb{R})\)
• Zeta functions of simple algebras
• GL(4, ℝ)-Whittaker Functions and 4 F 3 (1) Hypergeometric Series
• A class of nonanalytic automorphic functions
• Fonctions de Whittaker associées aux groupes de Chevalley

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