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Dependence Relations Among the Shifts of a Multivariate Refinable Distribution

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Constructive Approximation Aims and scope

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.

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Authors and Affiliations

  1. Department of Mathematics Vanderbilt University Nashville, TN 37240 USA hogan@math.vanderbilt.edu, US

    T. A. Hogan & R. -Q. Jia

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  1. T. A. Hogan
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  2. R. -Q. Jia
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March 14, 1998. Dates revised: February 3, 1999 and August 6, 1999. Date accepted: November 16, 1999.

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Hogan, T., -Q. Jia, R. Dependence Relations Among the Shifts of a Multivariate Refinable Distribution. Constr. Approx. 17, 19–37 (2001). https://doi.org/10.1007/s003650010022

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  • DOI: https://doi.org/10.1007/s003650010022

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