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Mellin Transforms of Whittaker Functions

Published online by Cambridge University Press:  20 November 2018

Anton Deitmar
Anton Deitmar*
Affiliation:
University of Exeter Department of Mathematics Exeter EX4 4QE Devon United Kingdom
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Abstract

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In 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.

Keywords

11F3022E3011F7022E45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 3 , 01 September 2002 , pp. 364 - 377
Copyright
Copyright © Canadian Mathematical Society 2002

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