Sonja Žunar
Published 2017-11-17Version 1
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.
The mod-$p$ representation theory of the metaplectic cover of $\operatorname{GL}_2(\mathbf{Q}_p)$
Metaplectic Covers of $p$-adic Groups and Quantum Groups at Roots of Unity
On the Casselman-Shalika formula for metaplectic groups
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