Mellin transforms ofp-adic Whittaker functions

2003 ◽  
Vol 261-262 (1) ◽  
pp. 37-46
Author(s):  
Anton Deitmar
Keyword(s):  
Whittaker Functions ◽  
Mellin Transforms

scholarly journals Mellin Transforms of Whittaker Functions

2002 ◽  
Vol 45 (3) ◽  
pp. 364-377
Author(s):  
Anton Deitmar
Keyword(s):  
Lie Group ◽  
Meromorphic Functions ◽  
Whittaker Functions ◽  
Mellin Transforms ◽  
Reductive Lie Group

AbstractIn this note we show that for an arbitrary reductive Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles and show that they always lie along translates of walls of Weyl chambers.

Mellin transforms of GL(n, R) Whittaker functions

2001 ◽  
Vol 123 (1) ◽  
pp. 121-161 ◽  
Author(s):  
Eric Stade
Keyword(s):  
Whittaker Functions ◽  
Mellin Transforms

scholarly journals On Mellin transforms of unramified Whittaker functions on GL(3, C)

1989 ◽  
Vol 139 (1) ◽  
pp. 205-216 ◽  
Author(s):  
Daniel Bump ◽  
Solomon Friedberg
Keyword(s):  
Whittaker Functions ◽  
Mellin Transforms

scholarly journals Mellin transforms of Whittaker functions

1993 ◽  
Vol 121 (1) ◽  
pp. 91-107 ◽  
Author(s):  
Solomon Friedberg ◽  
Dorian Goldfeld
Keyword(s):  
Whittaker Functions ◽  
Mellin Transforms

On Hankel and Mellin transforms

1978 ◽  
Vol 9 (2) ◽  
pp. 139-145
Author(s):  
N. Mullineux ◽  
J.R. Reed
Keyword(s):  
Mellin Transforms
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