[en] We study the regularity properties of random wavelet series constructed by
multiplying the coefficients of a deterministic wavelet series with unbounded
I.I.D. random variables. In particular, we show that, at the opposite to what
happens for Fourier series, the randomization of almost every continuous
function gives an almost surely nowhere locally bounded function.
Disciplines :
Mathematics
Author, co-author :
Esser, Céline ; Université de Liège - ULiège > Mathematics
Jaffard, Stéphane ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Vedel, Béatrice
Language :
English
Title :
Regularity properties of random wavelet series
Publication date :
In press
Journal title :
Theory of Probability and Mathematical Statistics
ISSN :
0094-9000
eISSN :
1547-7363
Publisher :
American Mathematical Society, Providence, United States - Rhode Island
