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Dependence relations among the shifts of a multivariate refinable distribution - MaRDI portal

Dependence relations among the shifts of a multivariate refinable distribution (Q5928187)

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scientific article; zbMATH DE number 1582162
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Dependence relations among the shifts of a multivariate refinable distribution
scientific article; zbMATH DE number 1582162

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    Dependence relations among the shifts of a multivariate refinable distribution (English)
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    19 December 2001
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    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. The authors 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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    refinable function
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    subdivision schemes
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    wavelet construction
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