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Beyond Besov Spaces, Part 2: Oscillation Spaces

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Constructive Approximation Aims and scope

Abstract

We study several extensions of Besov spaces; these extensions include the oscillation spaces Ops,s’which take into account correlations between the positions of large wavelet coefficients through the scales and, more generally, spaces defined through the distributions of suprema of wavelet coefficients on wavelet subtrees. These spaces are independent of the particular wavelet basis chosen. Examples of applications will be taken from image processing and multifractal analysis.

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  1. Laboratoire d’Analyse et de Mathématiques Appliquées Faculté des Sciences, Université Paris XII, 61 Avenue du Général de Gaulle, 94010 Créteil Cedex, France

    Stéphane Jaffard

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  1. Stéphane Jaffard
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Correspondence to Stéphane Jaffard.

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Jaffard, S. Beyond Besov Spaces, Part 2: Oscillation Spaces. Constr Approx 21, 29–61 (2004). https://doi.org/10.1007/s00365-004-0558-5

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  • DOI: https://doi.org/10.1007/s00365-004-0558-5

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