Principal series and generalized principal series Whittaker functions with peripheral \(K\)-types on the real symplectic group of rank 2

DOI10.1007/s00229-010-0385-xzbMath1229.11069OpenAlexW2002976062MaRDI QIDQ617832

Yasuko Hasegawa

Publication date: 14 January 2011

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-010-0385-x

zbMATH Keywords

holonomic systemsWhittaker functionsMaass shift operatorperipheral K-typesreal symplectic groupSiegel parabolic

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30)

Related Items (1)

Whittaker functions for generalized principal series representations of \(\mathrm{GSp}(2,\mathbb{R})\)

Cites Work

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• GL(4, ℝ)-Whittaker Functions and 4 F 3 (1) Hypergeometric Series
• Fonctions de Whittaker associées aux groupes de Chevalley
• Lie groups beyond an introduction

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