[en] In this talk, we study pointwise divergence properties of wavelet expansions of functions in a given Besov space. We obtain deterministic upper bounds for the Hausdorff dimensions of the sets of points where a given rate of divergence is observed, and we show that these bounds are generically (in the sense of Baire's categories) optimal. This gives a complement to the works done by F. Bayart and Y. Heurteaux in the case of Fourier series and by J.M. Aubry.
Disciplines :
Mathematics
Author, co-author :
Esser, Céline ; Université de Liège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Multifractal analysis of the divergence of wavelet series
Publication date :
07 June 2016
Event name :
Second joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies
