Study of frames and their generalizations

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 8220 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 o