A Truncated Integral of the Poisson Summation Formula

dc.creatorLevy, Jason
dc.date1996-01-19
dc.date2000-03-06
dc.date.accessioned2026-07-07T09:08:26Z
dc.date.available2026-07-07T09:08:26Z
dc.descriptionLet $G$ 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.
dc.description38 pages. More explanation given in difficult steps. Use made of a result of Brion-Vergne
dc.identifierhttps://arxiv.org/abs/math/9601217
dc.identifierhttp://arxiv.org/abs/math/9601217
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150716
dc.subjectNumber Theory
dc.titleA Truncated Integral of the Poisson Summation Formula
dc.typetext

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