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Matricial filters and crystallographic composite dilation wavelets


Authors: Jeffrey D. Blanchard and Ilya A. Krishtal
Journal: Math. Comp. 81 (2012), 905-922
MSC (2010): Primary 42C40
Published electronically: July 12, 2011
MathSciNet review: 2869042
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Abstract: In 2006 Guo, Labate, Lim, Weiss, and Wilson introduced the theory of MRA composite dilation wavelets. We continue their work by studying the filter properties of such wavelets and present several important examples.


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Additional Information

Jeffrey D. Blanchard
Affiliation: Department of Mathematics and Statistics, Grinnell College, Grinnell, Iowa 50112
Email: jeff@math.grinnell.edu

Ilya A. Krishtal
Affiliation: Department of Mathematics, Northern Illinois University, Dekalb, Illinois 60115
Email: krishtal@niu.edu

DOI: https://doi.org/10.1090/S0025-5718-2011-02518-4
Keywords: Filters, wavelets, composite dilation wavelets, bracket product, unitary extension principle
Received by editor(s): November 22, 2009
Received by editor(s) in revised form: January 16, 2011
Published electronically: July 12, 2011
Additional Notes: The first author was partially supported by NSF DMS (VIGRE) Grant number 0602219.
The second author was partially supported by NSF DMS Grant number 0908239.
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.