Dependence Relations Among the Shifts of a Multivariate Refinable Distribution |
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| Authors: | T. A. Hogan R. -Q. Jia |
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| Affiliation: | (1) T. A. Hogan Department of Mathematics Vanderbilt University Nashville, TN 37240 USA hogan@math.vanderbilt.edu, US;(2) R.-Q. Jia Department of Mathematical Sciences University of Alberta Edmonton Canada T6G 2G1 jia@xihu.math.ualberta.ca , CA |
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| Abstract: | ![]()
Refinable functions are an intrinsic part of subdivision schemes and wavelet constructions. The relevant properties of such functions must usually be determined from their refinement masks. In this paper, we provide a characterization of linear independence for the shifts of a multivariate refinable vector of distributions in terms of its (finitely supported) refinement mask. March 14, 1998. Dates revised: February 3, 1999 and August 6, 1999. Date accepted: November 16, 1999. |
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| Keywords: | . Refinement equations Refinable functions Linear independence Dependence relations Shift-invariant spaces. AMS Classification. 39B62 15A03 13P10 39A70 39B12 13F20. |
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