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

Abstract

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 $G(A)^1$.

33 pages, Appendix (by Erez M. Lapid) added by which the K-finiteness assumption in the previous version has been lifted