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The spaces S^V: New spaces defined with wavelet coefficients and related to multifractal analysis

Jean-Marie Aubry, Françoise Bastin, Sophie Dispa, Stéphane Jaffard


In the context of multifractal analysis, more precisely in the context of the study of Holder regularity, Stphane Jaffard introduced new spaces of functions related to the distribution of wavelet coefficients, the Sν 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.


Sequence spaces, wavelet coefficients, topological vector spaces, prevalence

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