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Matrices and quadrature rules for wavelets - MaRDI portal

Matrices and quadrature rules for wavelets (Q1282133)

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scientific article; zbMATH DE number 1269913
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Matrices and quadrature rules for wavelets
scientific article; zbMATH DE number 1269913

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    Matrices and quadrature rules for wavelets (English)
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    20 June 1999
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    The authors study matrices (in particular their spectral norm) arising in the (exact) computation of integrals \[ \int x^m\varphi(x- k)dx,\quad \int x^m\varphi(x) \varphi(x- k)dx\qquad (0\leq m\leq p-1), \] where \(\varphi\) denotes the Daubechies' scaling function which integer translates reproduce polynomials of degree \(\leq p-1\) on finite intervals.
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    scaling functions
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    wavelets
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    refinement masks
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    quadrature rule
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    spectral norm
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