Multiplicity-free Homogeneous Operators in the Cowen-douglas Class
نویسنده
چکیده
Abstract. In a recent paper, the authors have constructed a large class of operators in the Cowen-Douglas class Cowen-Douglas class of the unit disc D which are homogeneous with respect to the action of the group Möb – the Möbius group consisting of bi-holomorphic automorphisms of the unit disc D. The associated representation for each of these operators is multiplicity free. Here we give a different independent construction of all homogeneous operators in the Cowen-Douglas class with multiplicity free associated representation and verify that they are exactly the examples constructed previously.
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تاریخ انتشار 2009