Weyl calculus and dual pairs

M. McKee, A. Pasquale, T. Przebinda

We consider a dual pair $(G,G^{\prime })$, in the sense of Howe, with $G$ compact acting on $L^2({\mathbb{R}}^n)$ for an appropriate $n$ via the Weil Representation. Let $\tilde{G}$ be the…