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Use of Divided Differences and B Splines for Constructing Fast Discrete Transforms of Wavelet Type on Nonuniform Grids

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Abstract

In this paper, we construct fast discrete transforms of wavelet type with an arbitrary number of zero moments for nonuniform grids. We obtain explicit formulas for the parameters defining the wavelet transform.

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Translated from Matematicheskie Zametki, vol. 77, no. 5, 2005, pp. 743–752.

Original Russian Text Copyright ©2005 by I. V. Oseledets.

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Oseledets, I.V. Use of Divided Differences and B Splines for Constructing Fast Discrete Transforms of Wavelet Type on Nonuniform Grids. Math Notes 77, 686–694 (2005). https://doi.org/10.1007/s11006-005-0069-0

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  • DOI: https://doi.org/10.1007/s11006-005-0069-0

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