2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222727Let 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 liftedRepresentation TheorySpectral Theory22E40 (Primary); 58G25 (Secondary)text