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On a Problem of Daubechies

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Constructive Approximation Aims and scope

Abstract

Abstract. We solve a problem posed by Daubechies [12] by showing the nonexistence of orthonormal wavelet bases with good time-frequency localization associated with irrational dilation factors.

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  1. Department of Mathematics University of Michigan 525 East University Avenue Ann Arbor, MI 48109—1109 USA marbow@umich.edu, US

    Bownik

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  1. Bownik
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Bownik On a Problem of Daubechies . Constr. Approx. 19, 179–190 (2003). https://doi.org/10.1007/s00365-001-0025-5

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  • DOI: https://doi.org/10.1007/s00365-001-0025-5

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