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math.RT2021★ 1 cited
Symmetry breaking operators for dual pairs with one member compact
M. McKee, A. Pasquale, T. Przebinda
We consider a dual pair , in the sense of Howe, with G compact acting on , for an appropriate , via the Weil representation . Let $\tilde{\mathrm{…
math.RT2014★ 2 cited
Weyl calculus and dual pairs
M. McKee, A. Pasquale, T. Przebinda
We consider a dual pair , in the sense of Howe, with compact acting on for an appropriate via the Weil Representation. Let be the…
math.RT2011
Semisimple orbital integrals on the symplectic space for a real reductive dual pair
M. McKee, A. Pasquale, T. Przebinda
We prove a Weyl Harish-Chandra integration formula for the action of a reductive dual pair on the corresponding symplectic space . As an intermediate step, we introduce a notion…