Reference : Prevalenee of multifractal functions in S-nu spaces
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/22163
Prevalenee of multifractal functions in S-nu spaces
English
Aubry, Jean-Marie [Université de Liège - ULg > Département de mathématique > Analyse]
Bastin, Françoise mailto [Université de Liège - ULg > Département de mathématique > Analyse, analyse fonctionnelle, ondelettes >]
Dispa, S. [> > > >]
2007
Journal of Fourier Analysis and Applications
Birkhauser Boston Inc
13
2
175-185
Yes
International
1069-5869
Cambridge
[en] prevalence ; generic proper-ties of functions ; multifractal formalism ; sequence spaces
[en] Spaces called S-v were introduced by Jaffard [16] as spaces of functions characterized by the number similar or equal to 2(v(alpha)j) of their wavelet coefficients having a size greater than or similar to 2(-alpha j) at scale j. They are Polish vector spaces for a natural distance. In those spaces we show that multifractal functions are prevalent (an infinite-dimensional "almost-every"). Their spectrum of singularities can be computed from v, which justifies a new multifractal formalism, not limited to concave spectra.
http://hdl.handle.net/2268/22163

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