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

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

2002-11-02

arxiv.org/abs/math/0211030v2

Mathematics

Representation Theory

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

Scientific paper

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 $G(A)^1$.

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