Study of Frames and Their Generalizations
| dc.contributor.author | Poria, Anirudha | |
| dc.date.accessioned | 2018-05-29T11:53:04Z | |
| dc.date.accessioned | 2023-10-20T12:30:44Z | |
| dc.date.available | 2018-05-29T11:53:04Z | |
| dc.date.available | 2023-10-20T12:30:44Z | |
| dc.date.issued | 2017 | |
| dc.description | Supervisor: Jitendriya Swain | en_US |
| dc.description.abstract | This thesis address some problems on frames and their generalizations viz Hilbert space valued Gabor frames and Hilbert-Schmidt frames. Mainly, we analyze Gabor frames on amalgam spaces, obtain solution of a Feichtinger problem and establish Balian–Low type theorems on L2(C). Thesis is divided into six chapters. In Chapter 1, we give a brief introduction of frame theory, discuss some well-known results, basic definitions and provide a literature survey. In Chapter 2, we prove the convergence of Gabor expansions to identity operator in the operator norm as well as weak* sense on W(Lp,Lq) as the sampling density tends to infinity. Using it we show the validity of the Janssen’s representation and the Wexler-Raz biorthogonality condition for Gabor frame operator on W(Lp,Lq). | en_US |
| dc.identifier.other | ROLL NO.126123015 | |
| dc.identifier.uri | https://gyan.iitg.ac.in/handle/123456789/948 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartofseries | TH-1693; | |
| dc.subject | MATHEMATICS | en_US |
| dc.title | Study of Frames and Their Generalizations | en_US |
| dc.type | Thesis | en_US |
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