Triangular Subgroups of $Sp(d,\mathbb{R})$ and Reproducing Formulae

Elena Cordero, Anita Tabacco

We consider the (extended) metaplectic representation of the semidirect product $\mathcal{G}={\mathbb{H}}^d⋊Sp(d,\mathbb{R})$ between the Heisenberg group and the symplectic…