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By Mr (a: C, Charles K. (-mosl-cs) Czaja, Wojciech (-wasn, Mauro (-wasn) Weiss, Reviewed Marcin and M. Bownik


Characterization of general tight wavelet frames with matrix dilations and tightness preserving oversampling. (English summary) J. Fourier Anal. Appl. 8 (2002), no. 2, 173–200. In this paper the authors obtain a characterization formula for wavelet tight frames (and dual pairs of wavelet frames) associated with general expansive matrix dilations. It is a generalization of a one-dimensional result of C. K. Chui and X. L. Shi [Appl. Comput. Harmon. Anal. 9 (2000), no. 3, 243–264; MR1793418 (2002a:42025)] for real dilation factors and multidimensional results of Calogero, Han, and the reviewer [A. Calogero, J. Geom. Anal. 10 (2000), no. 4, 597–622

Year: 2013
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