Mellin transforms of Whittaker functions on \(\text{GL} (4,\mathbb{R})\) and \(\text{GL} (4,\mathbb{C})\)
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Publication:1903532
DOI10.1007/BF02570491zbMath0842.11019OpenAlexW2048705012MaRDI QIDQ1903532
Publication date: 29 January 1996
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/156104
Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Generalized hypergeometric series, ({}_pF_q) (33C20)
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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
- Cubic metaplectic forms on GL(3)
- On Mellin transforms of unramified Whittaker functions on GL(3,C)
- The multiplicity one theorem for \(\mathrm{GL}_n\)
- On Whittaker vectors and representation theory
- Zeta functions of simple algebras
- Barnes' Second Lemma and its Application to Rankin-Selberg Convolutions
- GL(4, ℝ)-Whittaker Functions and 4 F 3 (1) Hypergeometric Series
- Hypergeometric Series and Euler Factors at Infinity for L-Functions on GL(3, R )×GL(3, R )
- Mellin transforms of Whittaker functions
- Fonctions de Whittaker associées aux groupes de Chevalley