A truncated integral of the Poisson summation formula

Authors
Levy, J
Citation
J. Levy, A truncated integral of the Poisson summation formula, CAN J MATH, 53(1), 2001, pp. 122-160
Citations number
14
Categorie Soggetti
Mathematics
Journal title
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
ISSN journal
0008414X → ACNP
Volume
53
Issue
1
Year of publication
2001
Pages
122 - 160
Database
ISI
SICI code
0008-414X(200102)53:1<122:ATIOTP>2.0.ZU;2-N
Abstract
Let G be a reductive algebraic group defined over Q, with anisotropic centr e. 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 Schwa rtz-Bruhat function on V(A). The Poisson summation formula then yields an i dentity of distributions on V(A). The truncation used is due to Arthur.