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Mellin transforms of p ‐adic Whittaker functions
Author(s) -
Deitmar Anton
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310111
Subject(s) - mathematics , normalization (sociology) , mellin transform , class (philosophy) , pure mathematics , algebra over a field , rational function , mathematical analysis , fourier transform , artificial intelligence , computer science , sociology , anthropology
It is shown that Mellin transforms of p ‐adic Whittaker functions exist for generic characters. For good choices of vectors they are rational functions. For class one vectors they can be calculated explicitly. It turns out that they are automorphic L ‐factors times normalization factors. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)