Unitary equivalence of lowest dimensional reproducing formulae of type ${\mathcal{E}}_2\subset Sp(2,\mathbb{R})$

R. Boyer, K. Nowak, M. Pap

All two-dimensional reproducing formulae, i.e. of $L^2({\mathbb{R}}^2)$, resulting out of restrictions of the projective metaplectic representation to connected Lie subgroups of $Sp…