Howe's correspondence for a generic harmonic analyst
Colloquium Mathematicum, Tome 118 (2010) no. 2, pp. 539-557.

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The goal of this article is to explain Howe's correspondence to a reader who is not necessarily an expert on representation theory of real reductive groups, but is familiar with general concepts of harmonic analysis. We recall Howe's construction of the oscillator representation, the notion of a dual pair and a few basic and general facts concerning the correspondence.
DOI : 10.4064/cm118-2-10
Keywords: article explain howes correspondence reader who necessarily expert representation theory real reductive groups familiar general concepts harmonic analysis recall howes construction oscillator representation notion dual pair few basic general facts concerning correspondence

M. McKee 1 ; T. Przebinda 1

1 Department of Mathematics University of Oklahoma Norman, OK 73019, U.S.A.
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M. McKee; T.  Przebinda. Howe's correspondence for a generic harmonic analyst. Colloquium Mathematicum, Tome 118 (2010) no. 2, pp. 539-557. doi : 10.4064/cm118-2-10. http://geodesic.mathdoc.fr/articles/10.4064/cm118-2-10/

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