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arxiv: math/0011088 · v3 · submitted 2000-11-14 · 🧮 math.NT

Mellin transform of Whittaker functions

classification 🧮 math.NT
keywords functionsmellinwhittakeradmissiblearbitrarybanachextendgroup
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In this note we show that for an arbitrary semisimple Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles.

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