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- W3128601360 abstract "In 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." @default.
- W3128601360 created "2021-02-15" @default.
- W3128601360 creator A5050142417 @default.
- W3128601360 date "2018-01-01" @default.
- W3128601360 modified "2023-10-18" @default.
- W3128601360 title "Homogeneous Operators and Some Irreducible Representations of the Mobius Group" @default.
- W3128601360 hasPublicationYear "2018" @default.
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