On the non-vanishing of Poincaré series on the metaplectic group (Q1755517)

In [J. Number Theory 130, No. 7, 1488--1511 (2010; Zbl 1206.11053)], \textit{G. Muić} studied Poincaré seires of different types for the group $\mathrm{SL}_2(\mathbb{R})$, showed their non-vanishing and that they span the space fo cusp forms. In the current paper, these investigations are carried out for the metaplectic cover of $\mathrm{SL}_2(\mathbb{R})$.