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On the characterization of multiwavelet packets in L 2 (R^d)
by
Dr. Firdous Ahmad Shah
Department of Applied Mathematics, BGSB University, Rajouri, J & K, INDIA -185131
Abstract. In this paper, we study the pointwise convergence of nonuniform wavelet packet expansions and show that such expansions converge pointwise almost everywhere, and more precisely everywhere on the Lebesgue set of the function being expanded. Certain results are obtained in this direction by assuming only that the nonuniform wavelet packets being used be bounded by radial decreasing L 1 -functions. Keywords: Multiresolution analysis, multiwavelet packets, affine frames, dilation matrix . 2000 Mathematics Subject Classification : 42C15, 42C40.
Date received: April 9, 2008
Copyright © 2008 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 # cawq-07.