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arXiv · 1711.06481

On the Non-Vanishing of Poincar\'{e} Series on the Metaplectic Group

Sonja Žunar
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Abstract

In this paper, we study the $ K $-finite matrix coefficients of integrable representations of the metaplectic cover of $ \mathrm{SL}_2(\mathbb R) $ and give a result on the non-vanishing of their Poincar\'{e} series. We do this by adapting the techniques developed for $ \mathrm{SL}_2(\mathbb R) $ by Mui\'{c} to the case of the metaplectic group.

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BibTeXRIS

Sonja Žunar. 2017-11-17. On the Non-Vanishing of Poincar\'{e} Series on the Metaplectic Group. https://arxiv.org/abs/1711.06481

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