 

Ulrich Everling
An Example of Fourier Transforms of Orbital Integrals and their Endoscopic Transfer 

Published: 
January 23, 1998 
Keywords: 
orbital integral, Fourier transform, endoscopic transfer 
Subject: 
11F85, 22E35, 43A80 


Abstract
For the Lie algebra sl_{2}
over a padic field,
the Fourier transform of a regular orbital integral is expressed as
an integral over all regular orbital integrals, with explicit
coefficients.
This expression, unlike the Shalika germ expansion,
is not restricted to orbits of small elements.
The result gives quite an elementary access
to a simple example of Waldspurger's recent theorem
on endoscopic transfer of the Fourier transforms.


Author information
Kath. Universität MGF,
85071 Eichstätt,
Germany
ulrich.everling@kueichstaett.de
http://mathsrv.kueichstaett.de/MGF/homes/everling/

