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arxiv: 0704.0662 · v1 · submitted 2007-04-04 · 🧮 math.NT · math.RT

Bounds for Multiplicities of Unitary Representations of Cohomological Type in Spaces of Cusp Forms

classification 🧮 math.NT math.RT
keywords boundscohomologicalcuspformsghatmultiplicitiesrepresentationsspaces
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Let $\Goo$ be a semisimple real Lie group with unitary dual $\Ghat$. The goal of this note is to produce new upper bounds for the multiplicities with which representations $\pi \in \Ghat$ of cohomological type appear in certain spaces of cusp forms on $\Goo$.

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