A Truncated Integral of the Poisson Summation Formula
Jason Levy
Abstract
Let G be a reductive algebraic group defined over , 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(). The Poisson summation formula then yields an identity of distributions on V(). The truncation used is due to Arthur.
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