References of "Jaffard, Stéphane"
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See detailDivergence of wavelet series: A multifractal analysis
Esser, Céline ULiege; Jaffard, Stéphane ULiege

in Advances in Mathematics (2018), 328

We show the relevance of a multifractal-type analysis for pointwise convergence and divergence properties of wavelet series: Depending on the sequence space which the wavelet coefficients sequence belongs ... [more ▼]

We show the relevance of a multifractal-type analysis for pointwise convergence and divergence properties of wavelet series: Depending on the sequence space which the wavelet coefficients sequence belongs to, we obtain deterministic upper bounds for the Hausdorff dimensions of the sets of points where a given rate of divergence occurs, and we show that these bounds are generically optimal, according to several notions of genericity. [less ▲]

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See detailLineability in multifractal analysis
Esser, Céline ULiege; Jaffard, Stéphane ULiege

E-print/Working paper (2017)

The multifractal behavior of generic functions belonging to H older, Sobolev or Besov spaces has been investigated by many authors, using the concepts of Baire residuality and of prevalence. This paper ... [more ▼]

The multifractal behavior of generic functions belonging to H older, Sobolev or Besov spaces has been investigated by many authors, using the concepts of Baire residuality and of prevalence. This paper aims at obtaining the corresponding results in the framework supplied by the notion of lineability. Furthermore, we also study the question of algebrability, proving negative and positive results. [less ▲]

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See detailLarge deviation spectra based on wavelet leaders
Bastin, Françoise ULiege; Esser, Céline ULiege; Jaffard, Stéphane ULiege

in Revista Matemática Iberoamericana (2016), 32(3), 859-890

We introduce a new multifractal formalism, based on distributions of wavelet leaders, which allows to detect non-concave and decreasing multifractal spectra, and we investigate the properties of the ... [more ▼]

We introduce a new multifractal formalism, based on distributions of wavelet leaders, which allows to detect non-concave and decreasing multifractal spectra, and we investigate the properties of the associated function spaces. [less ▲]

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See detailTopological properties of the sequence spaces S-nu
Aubry, Jean-Marie ULiege; Bastin, Françoise ULiege; Dispa, S. et al

in Journal of Mathematical Analysis and Applications (2006), 321(1), 364-387

We define sequence spaces based on the distributions of the wavelet coefficients in the spirit of [S. Jaffard, Beyond Besov spaces, part I: Distributions of wavelet coefficients, J. Fourier Anal. Appl. 10 ... [more ▼]

We define sequence spaces based on the distributions of the wavelet coefficients in the spirit of [S. Jaffard, Beyond Besov spaces, part I: Distributions of wavelet coefficients, J. Fourier Anal. Appl. 10 (2004) 221-246]. We study their topology and especially show that they can be endowed with a (unique) complete metric for which compact sets can be explicitly described and we study properties of this metric. We also give relationships with Besov spaces. (c) 2005 Elsevier Inc. All rights reserved. [less ▲]

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