Abstract
Orthonormal wavelets are often constructed by an iteration procedure commonly referred to as thecascade algorithm. We obtain an asymptotic expansion and deduce necessary and sufficient conditions for convergence in Sobolev norms.
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Communicated by C. Brezinski
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Durand, S. Convergence of cascade algorithms introduced by I. Daubechies. Numer Algor 4, 307–322 (1993). https://doi.org/10.1007/BF02145750
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DOI: https://doi.org/10.1007/BF02145750