Regularity and construction of boundary multiwavelets (Q2825723)

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scientific article; zbMATH DE number 6638511
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English
Regularity and construction of boundary multiwavelets
scientific article; zbMATH DE number 6638511

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    13 October 2016
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    wavelets on the interval
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    multiwavelets
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    discrete wavelet transform
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    boundary handling
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    Regularity and construction of boundary multiwavelets (English)
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    The author considers the construction of boundary functions for multiwavelets on the interval and discusses their regularity. The boundary functions are obtained via boundary recursion relations and it is shown that the number of boundary functions at each endpoint is uniquely determined. Conditions to determine the regularity of the boundary functions in terms of the boundary recursion coefficients are derived. Finally, an algorithm based on linear algebra to construct boundary functions with prescript maximal regularity is presented.
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