Fractal multiwavelets related to the Cantor dyadic group (Q1384247)

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scientific article; zbMATH DE number 1140273
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Fractal multiwavelets related to the Cantor dyadic group
scientific article; zbMATH DE number 1140273

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    Fractal multiwavelets related to the Cantor dyadic group (English)
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    4 August 1998
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    Summary: Orthogonal wavelets on the Cantor dyadic group are identified with multiwavelets on the real line consisting of piecewise fractal functions. A tree algorithm for the analysis using these wavelets is described. Multivalued systems with algorithms of similar structure include certain orthogonal compactly supported multiwavelets in the linear double-knot spline space \(S^{1,2}\).
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    wavelets
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    Cantor dyadic group
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    multiwavelets
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    fractal functions
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    spline space
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