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arxiv: math/0211030 · v2 · submitted 2002-11-02 · 🧮 math.RT · math.SP

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

Werner Mueller , Birgit Speh , Erez M. Lapid This is my paper
classification 🧮 math.RT math.SP
keywords arthurformulasidespectraltraceabsoluteabsolutelyadeles
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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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