Theta correspondence for unitary groups (Q1587549)

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scientific article; zbMATH DE number 1537837
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Theta correspondence for unitary groups
scientific article; zbMATH DE number 1537837

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    Theta correspondence for unitary groups (English)
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    3 December 2000
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    This paper reformulates, unifies and generalizes many known results on the local theta correspondence for unitary groups \((U(V),U(W))\) with \(\dim(V)=\dim(W)\) in terms of a single conjecture expressed in terms of Vogan parameters of the admissible dual. The author also gives a conjecture unifying many known results for the global theta correspondence of such (adelic) unitary groups.
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    theta correspondence
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    admissible representations
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    automorphic representations
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