Unitary Representations and Theta Correspondence for Type I Classical Groups

2002/10/23 by Hongyu He
Mathematics · #math.RT #msc:22E45 #msc:22E46

paper · pdf

published as Journal of Functional Analysis 199 (2003) 92-121. · 25 pages

arxiv created 2002/10/23 · arxiv updated 2009/11/30

Abstract

In this paper, we prove that theta correspondence preserves unitarity under certain restrictions.

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• Notes on unitary theta representations of compact groups
• Theta correspondence for almost unramified representations of unitary groups
• On the local theta representation
• Lectures on local theta correspondence
• On Theta and Eta Correspondences for Finite Unitary Dual Pairs