Poincaré series for GL(3,R)-Whittaker functions

Eric Stade

Type: Article

Publication Date: 1989-06-01

Citations: 14

DOI: https://doi.org/10.1215/s0012-7094-89-05833-x

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Locations

Duke Mathematical Journal - View

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Works That Cite This (13)

Action	Title	Year	Authors
+	Unramified Whittaker functions for GL(3,ℝ)	1995	Daniel Bump J. M. Huntley
+	On principal series Whittaker functions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">Sp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo></mml:math>R)	2005	Taku Ishii
+ PDF Chat	Principal series Whittaker functions on <i>SL</i> (3, R)	2004	Hiroyuki Manabe Taku Ishii Takayuki Oda
+	Calculus of principal series Whittaker functions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="bold">C</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2008	Miki Hirano Takayuki Oda
+ PDF Chat	𝐺𝐿(4,𝑅)-Whittaker functions and ₄𝐹₃(1) hypergeometric series	1993	Eric Stade
+	Mellin transforms of Whittaker functions onGL(4,ℝ) andGL(4,ℂ)	1995	Eric Stade
+	On explicit integral formulas for GL(n,ℝ)-Whittaker functions	1990	Eric Stade
+	New formulas for Whittaker functions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2007	Taku Ishii Eric Stade
+	Hypergeometric Series and Euler Factors at Infinity for L-Functions on GL(3, R )×GL(3, R )	1993	Eric Stade
+	Exponential functionals of Brownian motion and class-one Whittaker functions	2008	Fabrice Baudoin Neil O’Connell

Works Cited by This (16)

Action	Title	Year	Authors
+ PDF Chat	A class of nonanalytic automorphic functions	1973	Douglas Niebur
+	Whittaker functions on semisimple Lie groups	1982	Michihiko Hashizume
+	<i>Generalized Hypergeometric Functions</i>	1967	L. J. Slater Werner C. Rheinboldt
+	Automorphic forms constructed from Whittaker vectors	1989	Roberto J. Miatello Nolan R. Wallach
+	The Multiplicity One Theorem for GL n	1974	J. A. Shalika
+ PDF Chat	A global approach to the Rankin-Selberg convolution for 𝐺𝐿(3,𝑍)	1987	Solomon Friedberg
+	Theory of Eisenstein series for the group SL(3,R) and its application to a binary problem	1982	А. И. Виноградов L. A. Takhtadzhyan
+	On Whittaker vectors and representation theory	1978	Bertram Kostant
+	On Mellin transforms of unramified Whittaker functions on GL(3, C)	1989	Daniel Bump Solomon Friedberg
+ PDF Chat	Fonctions de Whittaker associées aux groupes de Chevalley	1967	Hervé Jacquet