Some generic properties in analysis,

DOI10.1016/j.crma.2005.03.029zbMath1090.28008OpenAlexW4300022249MaRDI QIDQ556917

Aurélia Fraysse, Jean-Pierre Kahane, Stéphane Jaffard

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.03.029

zbMATH Keywords

prevalencegenericity in the sense of Baire categories

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Baire category, Baire spaces (54E52) Fractals (28A80) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

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Cites Work

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• How smooth is almost every function in a Sobolev space?
• On the Frisch-Parisi conjecture
• The Sobolev embeddings are usually sharp
• A functional method for linear sets
• On sets of Haar measure zero in abelian Polish groups
• Porous sets that are Haar null, and nowhere approximately differentiable functions
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• The Prevalence of Continuous Nowhere Differentiable Functions