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Inverse Laplace Transforms of Products of Whittaker Functions

✍ Scribed by Richard Beals and Yakar Kannai


Book ID
125069085
Publisher
The Royal Society
Year
2008
Tongue
English
Weight
666 KB
Volume
464
Category
Article
ISSN
0962-8444

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Mellin transforms of p-adic Whittaker fu
✍ Anton Deitmar πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 173 KB

## Abstract 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 f