Symmetry breaking operators for dual pairs with one member compact

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 $\ddot{I}‰$. Let $\tilde{\mathrm…