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

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

2007-04-04

arxiv.org/abs/0704.0662v1

Mathematics

Number Theory

submitted

Scientific paper

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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