Reference : The S\nu spaces: new spaces defined with wavelet coefficients and related to multifracta...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
The S\nu spaces: new spaces defined with wavelet coefficients and related to multifractal analysis
Aubry, Jean-Marie mailto [Paris 12 Créteil > LAMA > Analyse > >]
Bastin, Françoise mailto [Université de Liège - ULg > Département de mathématique > Analyse, analyse fonctionnelle, ondelettes >]
Dispa, S. [ > > ]
Jaffard, S. [Paris 12 Créteil > LAMA > Analyse > >]
International Journal of Applied Mathematics & Statistics
Centre for Environment, Social & Economic Research (CESER)
Yes (verified by ORBi)
[en] Sequence spaces ; wavelet coefficients ; topological vector spaces ; prevalence
[en] In the context of multifractal analysis, more precisely in the context of the study of H\"older regularity, Stéphane Jaffard introduced new spaces of functions related to the distributionof wavelet coefficients, the ${\cal S}^{\nu}$ spaces.

From a functional analysis point of view, one can define the corresponding sequence spaces, endow them with natural topologies and study their properties. The results lead to construct probability Borel measures with applications in the context of multifractal analysis.

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