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Organizers |
Affine Frames in L2(Rd)
by
Zuowei Shen
National University of Singapore
What are frames? Why and how are frames used in applications? How are affine frames related to wavelets? The first part of this talk is devoted to answer above questions.
The second part of the talk focuses on affine frames. We completely unravel the structure of the affine frame with the aid of a new notion a quasi-affine system. This leads to a characterization of affine frames. The induced characterization of tight affine frames is in terms of exact orthogonality relations that the wavelets should satisfy on the Fourier domain. Moreover, this characterization suggests a very simple construction of tight frames.
Date received: January 8, 1999
Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabp-19.