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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.
Advances in Pure and Applied Mathematics – de Gruyter
Published: Sep 1, 2011
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