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Box spline prewavelets of small support

Buhmann, M.D. and Davydov, Oleg and Goodman, T.N.T. (2001) Box spline prewavelets of small support. Journal of Approximation Theory, 112. pp. 16-27.

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    Abstract

    The purpose of this paper is the construction of bi- and trivariate prewavelets from box-spline spaces, \ie\ piecewise polynomials of fixed degree on a uniform mesh. They have especially small support and form Riesz bases of the wavelet spaces, so they are stable. In particular, the supports achieved are smaller than those of the prewavelets due to Riemenschneider and Shen in a recent, similar construction

    Item type: Article
    ID code: 36563
    Keywords: prewavelets , box spline prewavelets, differentiation, polynomials, Mathematics, Analysis, Applied Mathematics, Mathematics(all), Numerical Analysis
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
      Depositing user: Pure Administrator
      Date Deposited: 22 Dec 2011 16:09
      Last modified: 06 Sep 2014 13:23
      URI: http://strathprints.strath.ac.uk/id/eprint/36563

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