A Truncated Integral of the Poisson Summation Formula
Printed: Feb 2001
Let $G$ be a reductive algebraic group defined over $\bQ$, with
anisotropic centre. Given a rational action of $G$ on a finite-dimensional
vector space $V$, we analyze the truncated integral of the theta series
corresponding to a Schwartz-Bruhat function on $V(\bA)$. The Poisson
summation formula then yields an identity of distributions on $V(\bA)$.
The truncation used is due to Arthur.
11F99 - None of the above, but in this section
11F72 - Spectral theory; Selberg trace formula