Nonsmooth spline-wavelet decompositions on a segment (Q1762525)

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scientific article; zbMATH DE number 6110550
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Nonsmooth spline-wavelet decompositions on a segment
scientific article; zbMATH DE number 6110550

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    Nonsmooth spline-wavelet decompositions on a segment (English)
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    27 November 2012
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    The paper deals with the problem of embedded spline spaces and the related spline-wavelet decompositions on embedded grids. The case of non-smooth spline is considered and a local enlargement of an irregular grid is done to construct chains of embedded spline spaces on a segment (a finite grid). The commutability of the wavelet decomposition operation with respect to the order of eliminating grid points in the enlargement of the original grid is proved.
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    spline
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    wavelet
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    decomposition
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