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dc.contributor.advisorMisra, Gadadhar
dc.contributor.authorChandramouli, K
dc.date.accessioned2018-10-12T04:40:24Z
dc.date.available2018-10-12T04:40:24Z
dc.date.submitted2014
dc.identifier.urihttp://etd.iisc.ac.in/handle/2005/4100
dc.description.abstractIn this report, after recalling the definition of the M¨obius group, we define homogeneous operators, that is, operators T with the property '(T) is unitarily equivalent to T for all ' in the M¨obius group and prove some properties of homogeneous operators. Following this, (i) we describe isometric operators which are homogeneous. (ii) we describe the homogeneous operators in the Cowen-Douglas class of rank 1. Finally, Multiplier representations which occur in the study of homogeneous operators are discussed. Following the proof of Kobayashi, the multiplier representations are shown to be irreducible.en_US
dc.language.isoen_USen_US
dc.relation.ispartofseriesG26307;
dc.rightsI grant Indian Institute of Science the right to archive and to make available my thesis or dissertation in whole or in part in all forms of media, now hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part of this thesis or dissertationen_US
dc.subjectMobius Groupsen_US
dc.subjectHomogeneous Operatorsen_US
dc.subjectIrreducible Representationsen_US
dc.subjectCowen-Douglas Classen_US
dc.subjectKobayashien_US
dc.subjectCowen-Douglas Classesen_US
dc.subjectMoben_US
dc.subject.classificationMathematicsen_US
dc.titleHomogeneous Operators and Some Irreducible Representations of the Mobius Groupen_US
dc.typeThesisen_US
dc.degree.nameMSen_US
dc.degree.levelMastersen_US
dc.degree.grantorIndian Institute of Scienceen_US
dc.degree.disciplineFaculty of Scienceen_US


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