Article (Scientific journals)
The S\nu spaces: new spaces defined with wavelet coefficients and related to multifractal analysis
Aubry, Jean-Marie; Bastin, Françoise; Dispa, S. et al.
2007In International Journal of Applied Mathematics and Statistics, 7 (Fe07), p. 82-95
Peer Reviewed verified by ORBi
 

Files


Full Text
IJAMASFormat.pdf
Publisher postprint (171.82 kB)
Request a copy

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
Sequence spaces; wavelet coefficients; topological vector spaces; prevalence
Abstract :
[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.
Disciplines :
Mathematics
Author, co-author :
Aubry, Jean-Marie ;  Paris 12 Créteil > LAMA > Analyse
Bastin, Françoise ;  Université de Liège - ULiège > Département de mathématique > Analyse, analyse fonctionnelle, ondelettes
Dispa, S.
Jaffard, S.;  Paris 12 Créteil > LAMA > Analyse
Language :
English
Title :
The S\nu spaces: new spaces defined with wavelet coefficients and related to multifractal analysis
Publication date :
2007
Journal title :
International Journal of Applied Mathematics and Statistics
ISSN :
0973-1377
Publisher :
Centre for Environment, Social & Economic Research (CESER), India
Volume :
7
Issue :
Fe07
Pages :
82-95
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 20 November 2009

Statistics


Number of views
166 (36 by ULiège)
Number of downloads
23 (23 by ULiège)

Bibliography


Similar publications



Contact ORBi