| dc.contributor.advisor | Misra, Gadadhar | |
| dc.contributor.author | Chandramouli, K | |
| dc.date.accessioned | 2018-10-12T04:40:24Z | |
| dc.date.available | 2018-10-12T04:40:24Z | |
| dc.date.submitted | 2014 | |
| dc.identifier.uri | https://etd.iisc.ac.in/handle/2005/4100 | |
| dc.description.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. | en_US |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | G26307; | |
| dc.rights | I 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 dissertation | en_US |
| dc.subject | Mobius Groups | en_US |
| dc.subject | Homogeneous Operators | en_US |
| dc.subject | Irreducible Representations | en_US |
| dc.subject | Cowen-Douglas Class | en_US |
| dc.subject | Kobayashi | en_US |
| dc.subject | Cowen-Douglas Classes | en_US |
| dc.subject | Mob | en_US |
| dc.subject.classification | Mathematics | en_US |
| dc.title | Homogeneous Operators and Some Irreducible Representations of the Mobius Group | en_US |
| dc.type | Thesis | en_US |
| dc.degree.name | MS | en_US |
| dc.degree.level | Masters | en_US |
| dc.degree.grantor | Indian Institute of Science | en_US |
| dc.degree.discipline | Faculty of Science | en_US |
