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Spline-Wavelets of Minimal Support

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Numerical Methods in Approximation Theory, Vol. 9

Abstract

For any finite dimensional univariate spline spaces S 0 and S 1 of the same degree, with S 0 ⊂ S 1, we determine a basis for the orthogonal complement of S 0 in S 1. This basis has minimal support and is of interest in wavelet decompositions.

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References

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Author information

Authors and Affiliations

  1. Institutt for Informatikk, University of Oslo, P.O.Box 1080, Blindern, 0316, Oslo 3, Norway

    T. Lyche & K. Mørken

Authors
  1. T. Lyche
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  2. K. Mørken
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Editor information

Editors and Affiliations

  1. Fakultät und Institut für Mathematik, Ruhr-Universität Bochum, Universitätsstr. 150, Geb. NA, D-W-4630, Bochum 1, Germany

    Dietrich Braess

  2. Dept. of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN, 37240, USA

    Larry L. Schumaker (Stevenson Professor) (Stevenson Professor)

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Dedicated to the memory of Lothar Collatz

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© 1992 Springer Basel AG

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Lyche, T., Mørken, K. (1992). Spline-Wavelets of Minimal Support. In: Braess, D., Schumaker, L.L. (eds) Numerical Methods in Approximation Theory, Vol. 9. ISNM 105: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 105. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8619-2_10

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  • DOI: https://doi.org/10.1007/978-3-0348-8619-2_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9702-0

  • Online ISBN: 978-3-0348-8619-2

  • eBook Packages: Springer Book Archive

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