Multiplicity-free homogeneous operators in the Cowen-Douglas class

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dc.creatorKorányi, Adam
dc.creatorMisra, Gadadhar
dc.date2009-01-07
dc.date.accessioned2026-07-07T12:27:09Z
dc.date.available2026-07-07T12:27:09Z
dc.descriptionIn a recent paper, the authors have constructed a large class of operators in the Cowen-Douglas class Cowen-Douglas class of the unit disc $\mathbb D$ which are {\em homogeneous} with respect to the action of the group Möb -- the Möbius group consisting of bi-holomorphic automorphisms of the unit disc $\mathbb{D}$. The {\em associated representation} for each of these operators is {\em 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.
dc.identifierhttps://arxiv.org/abs/0901.0794
dc.identifierhttp://arxiv.org/abs/0901.0794
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215112
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.titleMultiplicity-free homogeneous operators in the Cowen-Douglas class
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