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Unitary holomorphic multiplier representations over a homogeneous bounded domain

Unitary holomorphic multiplier representations over a homogeneous bounded domain Abstract We consider the unitarizability of multiplier representations of transformation groups defined on Hilbert spaces of holomorphic functions on a homogeneous bounded domain. In particular, for the Iwasawa subgroup of the holomorphic automorphism group the classification of the unitary multiplier representations is accomplished by making use of results in (Ishi, J. Funct. Anal. 167: 425–462, 1999). As an application, the Wallach set of the homogeneous bounded domain is described. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

Unitary holomorphic multiplier representations over a homogeneous bounded domain

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References (15)

Publisher
de Gruyter
Copyright
Copyright © 2011 by the
ISSN
1867-1152
eISSN
1869-6090
DOI
10.1515/apam.2010.037
Publisher site
See Article on Publisher Site

Abstract

Abstract We consider the unitarizability of multiplier representations of transformation groups defined on Hilbert spaces of holomorphic functions on a homogeneous bounded domain. In particular, for the Iwasawa subgroup of the holomorphic automorphism group the classification of the unitary multiplier representations is accomplished by making use of results in (Ishi, J. Funct. Anal. 167: 425–462, 1999). As an application, the Wallach set of the homogeneous bounded domain is described.

Journal

Advances in Pure and Applied Mathematicsde Gruyter

Published: Sep 1, 2011

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