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Wavelets as unconditional bases inL p (ℝ)

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Abstract

We present weak sufficient conditions for decay of a wavelet so that the wavelet basis is an unconditional basis in Lp(ℝ), 1 <p < ∞. We also prove that some unimodular wavelets yield unconditional bases in Lp(ℝ).

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Authors and Affiliations

  1. Instytut Matematyki, Uniwersytet Warszawski, 02-097, Warszawa, Banaca 2

    P. Wojtaszczyk

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  1. P. Wojtaszczyk
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Communicated by T.W. Körner

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Wojtaszczyk, P. Wavelets as unconditional bases inL p (ℝ). The Journal of Fourier Analysis and Applications 5, 73–85 (1999). https://doi.org/10.1007/BF01274190

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  • DOI: https://doi.org/10.1007/BF01274190

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