Abstract
The purpose of this tutorial is to describe the interplay between three subjects: function spaces, wavelet expansions, and multifractal analysis. Some relationships are now classical. Wavelet bases were immediately considered as remarkable by analysts because they are unconditional bases of ’most’ function spaces. This property is a key feature of the denoising algorithms of Donoho, for instance, multifractal analysis tries to derive the Hausdorff dimensions of the Holder singularities. Wavelet techniques proved the most efficient tool in the numerical computation of the spectra of singularities of turbulent flows.
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Jaffard, S. (2001). Wavelet expansions, function spaces and multifractal analysis. In: Byrnes, J.S. (eds) Twentieth Century Harmonic Analysis — A Celebration. NATO Science Series, vol 33. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0662-0_6
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DOI: https://doi.org/10.1007/978-94-010-0662-0_6
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