Simple methods for constructing embedded spaces of splines (in general, nonsmooth and nonpolynomial) of the first order corresponding to local coarsening of an irregular mesh are provided, their wavelet expansions are presented, and the commutativity of the decomposition operators is established. Bibliography: 6 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 395, 2011, pp. 31–60.
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Dem’yanovich, Y.K. Nonsmooth spline-wavelet expansions and their properties. J Math Sci 182, 761–778 (2012). https://doi.org/10.1007/s10958-012-0782-7
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DOI: https://doi.org/10.1007/s10958-012-0782-7