Biorthogonal wavelet expansions (Q1362761)

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scientific article; zbMATH DE number 1045355
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Biorthogonal wavelet expansions
scientific article; zbMATH DE number 1045355

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    Biorthogonal wavelet expansions (English)
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    5 March 1998
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    The paper is concerned with the construction of multivariate wavelets. The authors develop conditions on a given finite collection of compactly supported algebraically linearly independent refinable functions that insure the existence of biorthogonal systems of refinable functions with similar properties. They show that the possibility of realizing such conditions is closely related to the concept of stationary subdivision schemes.
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    finitely generated shift-invariant spaces
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    multivariate wavelets
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    biorthogonal systems
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    stationary subdivision schemes
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