Baire generic histograms of wavelet coefficients and large deviation formalism in Besov and Sobolev spaces

DOI10.1016/j.jmaa.2008.08.046zbMath1165.42008OpenAlexW1993526953MaRDI QIDQ953503

Mourad Ben Slimane

Publication date: 6 November 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.08.046

zbMATH Keywords

waveletsBesov spacesscaling functionBaire categorymultifractal formalismhistograms of wavelet coefficients

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Large deviations (60F10) Probability theory on linear topological spaces (60B11)

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Cites Work

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• On the Frisch-Parisi conjecture
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• Topological properties of the sequence spaces \(S^{\nu }\)
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Multifractal Formalism for Functions Part I: Results Valid For All Functions