A Truncated Integral of the Poisson Summation Formula
Abstract
Description
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.
38 pages. More explanation given in difficult steps. Use made of a result of Brion-Vergne
38 pages. More explanation given in difficult steps. Use made of a result of Brion-Vergne