An alternating sum formula for multiplicities in 𝐿²(Γ\𝐺)

Miatello, Roberto J.

doi:10.1090/S0002-9947-1982-0637710-0

An alternating sum formula for multiplicities in $L^{2}(\Gamma \backslash G)$
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by Roberto J. Miatello PDF

Trans. Amer. Math. Soc. 269 (1982), 567-574 Request permission

Abstract:

We prove an alternating sum formula for multiplicities in ${L^2}(\Gamma \backslash G)$, where $G$ is a semisimple Lie group of split rank one with finite center and $\Gamma$ is a discrete cocompact torsion free subgroup.

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