arXiv Analytics

Sign in

arXiv:math/0211030 [math.RT]AbstractReferencesReviewsResources

On the absolute convergence of the spectral side of the Arthur trace formula for GL(n)

Werner Mueller, Birgit Speh, Erez M. Lapid

Published 2002-11-02, updated 2003-11-20Version 2

Let G be the group GL(n) over a number field E and let A be the ring of adeles of E. In this paper we prove that the spectral side of the Arthur trace formula for G is absolutely convergent for all integrable rapidly decreasing functions on $G(A)^1$.

Comments: 33 pages, Appendix (by Erez M. Lapid) added by which the K-finiteness assumption in the previous version has been lifted
Categories: math.RT, math.SP
Subjects: 22E40, 58G25
Related articles: Most relevant | Search more
arXiv:math/0210464 [math.RT] (Published 2002-10-30)
On the spectral side of the Arthur trace formula
arXiv:1212.1023 [math.RT] (Published 2012-12-05)
Field of U-invariants of adjoint representation of the group GL(n,K)
arXiv:1406.5948 [math.RT] (Published 2014-06-23)
Field of Borel Group Invariant of adjoint representatnion of the group GL(n, K)

Links

Toolbox