A Classification of Homogeneous Operators in the Cowen-Douglas Class

By Adam Korányi, Gadadhar Misra. 2009

65 citations recorded by the source corpus.

Abstract.A complete list of homogeneous operators in the Cowen-Douglas class $$B_n({\mathbb{D}})$$ 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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8920117c1fdc379a2b9e36dee356400e90508b19