A classification of homogeneous operators in the Cowen-Douglas class

Korányi, Adam ; Misra, Gadadhar (2009) A classification of homogeneous operators in the Cowen-Douglas class Integral Equations and Operator Theory, 63 (4). pp. 595-599. ISSN 0378-620X

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Abstract

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

Item Type:Article
Source:Copyright of this article belongs to Springer.
Keywords:Hermitizable; Cowen-Douglas Class; Reproducing Kernel; Homogeneous Holomorphic Hermitian Vector Bundle
ID Code:67105
Deposited On:28 Oct 2011 10:31
Last Modified:18 May 2016 14:21

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