Add to ORKGInternational audienceWe study the size, in terms of the Hausdorff dimension, of the subsets of $\mathbb T$ such that the Fourier series of a generic function in $L^1(\TT)$, $L^p(\TT)$ or in $\mathcal C(\mathbb T)$ may behave badly. Genericity is related to the Baire category theorem or to the notion of prevalence
AbstractIn this paper we apply the techniques and results from the theory of multifractal divergence...
We study divergence properties of the Fourier series on Cantor-type fractal measures, also called th...
We study divergence properties of the Fourier series on Cantor-type fractal measures, also called th...
A famous theorem of Carleson says that, given any function $f\in L^p(\TT)$, $p\in(1,+\infty)$, its F...
We undertake a general study of multifractal phenomena for functions. We show that the existence of ...
AbstractWe prove several related results concerning the genericity (in the sense of Baire's categori...
AbstractDuring the past 10 years multifractal analysis has received an enormous interest. For a sequ...
summary:We prove the existence of functions $f\in A(\mathbb D)$, the Fourier series of which being u...
summary:We prove the existence of functions $f\in A(\mathbb D)$, the Fourier series of which being u...
The first result involving Hölder regularity and the Baire's categories theorem goes back to 1931. T...
The first result involving Hölder regularity and the Baire's categories theorem goes back to 1931. T...
We prove that, in the Baire category sense, a typical measure supported by a compact set admits a li...
AbstractLet g∈Lp(T), 1<p<∞. We show that the set of points where the Fourier partial sums Sng(x) div...
AbstractThe purpose of multifractal analysis is to evaluate the Hausdorff dimensions d(h) of the set...
AbstractWe introduce and develope a unifying multifractal framework. The framework developed in this...
AbstractIn this paper we apply the techniques and results from the theory of multifractal divergence...
We study divergence properties of the Fourier series on Cantor-type fractal measures, also called th...
We study divergence properties of the Fourier series on Cantor-type fractal measures, also called th...
A famous theorem of Carleson says that, given any function $f\in L^p(\TT)$, $p\in(1,+\infty)$, its F...
We undertake a general study of multifractal phenomena for functions. We show that the existence of ...
AbstractWe prove several related results concerning the genericity (in the sense of Baire's categori...
AbstractDuring the past 10 years multifractal analysis has received an enormous interest. For a sequ...
summary:We prove the existence of functions $f\in A(\mathbb D)$, the Fourier series of which being u...
summary:We prove the existence of functions $f\in A(\mathbb D)$, the Fourier series of which being u...
The first result involving Hölder regularity and the Baire's categories theorem goes back to 1931. T...
The first result involving Hölder regularity and the Baire's categories theorem goes back to 1931. T...
We prove that, in the Baire category sense, a typical measure supported by a compact set admits a li...
AbstractLet g∈Lp(T), 1<p<∞. We show that the set of points where the Fourier partial sums Sng(x) div...
AbstractThe purpose of multifractal analysis is to evaluate the Hausdorff dimensions d(h) of the set...
AbstractWe introduce and develope a unifying multifractal framework. The framework developed in this...
AbstractIn this paper we apply the techniques and results from the theory of multifractal divergence...
We study divergence properties of the Fourier series on Cantor-type fractal measures, also called th...
We study divergence properties of the Fourier series on Cantor-type fractal measures, also called th...