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Polynomial wavelets on the interval

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Abstract

We investigate a polynomial wavelet decomposition of theL 2(−1, 1)-space with Chebyshev weight, where the wavelets fulfill certain interpolatory conditions. For this approach we obtain the two-scale relations and decomposition formulas. Dual functions and Riesz-stability are discussed.

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Authors and Affiliations

  1. Department of Mathematics 120 Mathematics Annex, Auburn University, 36849, Auburn, Alabama, USA

    T. Kilgore

  2. Fachbereich Mathematik, Universität Rostock, 18051, Rostock, Germany

    J. Prestin

Authors
  1. T. Kilgore
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  2. J. Prestin
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Communicated by Ronald A. DeVore.

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Kilgore, T., Prestin, J. Polynomial wavelets on the interval. Constr. Approx 12, 95–110 (1996). https://doi.org/10.1007/BF02432856

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  • DOI: https://doi.org/10.1007/BF02432856

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