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Theses/Dissertations

2006

University of Central Florida

Frames

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Frames In Hilbert C*-Modules, Wu Jing Jan 2006

Frames In Hilbert C*-Modules, Wu Jing

Electronic Theses and Dissertations

Since the discovery in the early 1950's, frames have emerged as an important tool in signal processing, image processing, data compression and sampling theory etc. Today, powerful tools from operator theory and Banach space theory are being introduced to the study of frames producing deep results in frame theory. In recent years, many mathematicians generalized the frame theory from Hilbert spaces to Hilbert C*-modules and got significant results which enrich the theory of frames. Also there is growing evidence that Hilbert C*-modules theory and the theory of wavelets and frames are tightly related to each other in ...