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

Werner Mueller, Birgit Speh, Erez M. Lapid

math.RTarXiv:math/0211030

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.

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