A classification of homogeneous operators in the Cowen-Douglas class

2009/01/09 by Adam Korany, Korany, Adam, Gadadhar Misra +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Representation Theory (math.RT) #math.FA #math.RT

paper · pdf · doi:10.48550/arxiv.0901.1233

arxiv created 2009/01/09 · arxiv updated 2009/12/01

Abstract

A complete list of homogeneous operators in the Cowen-Douglas class B_n(D) is given. This classification is obtained from an explicit realization of all the homogeneous Hermitian holomorphic vector bundles on the unit disc under the action of the universal covering group of the bi-holomorphic automorphism group of the unit disc.

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