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Mellin Transforms of Whittaker Functions
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2002