POISSON SUMMATION AND ENDOSCOPY FOR SU(2, 1)

Abstract

In this paper we analyze the endoscopy for SU(2, 1). We make a pre

cise realization of the discrete series representations (following the work

[Li] in Section 2), a computation of their traces (Section 3) and an ex

act formula for the Poisson summation and endoscopy for this group (in

Section 4).

Key words: discrete series representation; Poisson summation; trace for

mula; endoscopy

2010 Subject Classification:

Primary: 22E45, Secondary: 11F70;

11F72