On the Occurrence of Admissible Representations in the Real Howe Correspondence in Stable Range
نویسنده
چکیده
Let (G,G′) ⊂ Sp(W) be an irreducible real reductive dual pair of type I in stable range, with G the smaller member. In this note, we prove that all irreducible genuine representations of G̃ occur in the Howe correspondence. The proof uses structural information about the groups forming a reductive dual pair and estimates of matrix coefficients.
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