1. CMB 2002 (vol 45 pp. 364)
|Mellin Transforms of Whittaker Functions |
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.
Categories:11F30, 22E30, 11F70, 22E45