Geodesic
A Truncated Integral of the Poisson Summation Formula
Canadian journal of mathematics, Tome 53 (2001) no. 1, pp. 122-160

Voir la notice de l'article provenant de la source Cambridge University Press

Let $G$ be a reductive algebraic group defined over $\mathbb{Q}$ , 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 $V\left( \mathbb{A} \right)$ . The Poisson summation formula then yields an identity of distributions on $V\left( \mathbb{A} \right)$ . The truncation used is due to Arthur.
DOI : 10.4153/CJM-2001-006-1
Mots-clés : 11F99, 11F72 
Levy, Jason. A Truncated Integral of the Poisson Summation Formula. Canadian journal of mathematics, Tome 53 (2001) no. 1, pp. 122-160. doi: 10.4153/CJM-2001-006-1
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