 Applications of the concept of Prevalence: Nowhere analytic functions and Multifractal analysisEsser, Céline  Conference (2013, February 07) Detailed reference viewed: 8 (4 ULg)Applications of the concept of prevalence: Nowhere analytic functions and multifractal analysisEsser, Céline Conference (2013, February 05) Detailed reference viewed: 7 (4 ULg) About Generic Properties of "Nowhere Analyticity"Bastin, Françoise ; Nicolay, Samuel ; Esser, Céline Conference (2012, May 08) A infinitely differentiable function f is is analytic at a point x if its Taylor series at this point converges to f on an open neighbourhood of x; if this is not the case, f has a singularity at x. A ... [more ▼] A infinitely differentiable function f is is analytic at a point x if its Taylor series at this point converges to f on an open neighbourhood of x; if this is not the case, f has a singularity at x. A function with a singularity at each point of the interval is called nowhere analytic on the interval. In this talk, we show that the set of nowhere analytic functions is prevalent in the Frechet space C([0;1]). We get then a deeper result using Gevrey classes. [less ▲] Detailed reference viewed: 31 (18 ULg)Prevalence of ''nowhere analyticity''Bastin, Françoise ; Esser, Céline ; Nicolay, Samuel in Studia Mathematica (2012), 210(3), This note brings a complement to the study of genericity of functions which are nowhere analytic mainly in a measure-theoretic sense. We extend this study in Gevrey classes of functions. Detailed reference viewed: 26 (10 ULg)Les espaces de suites Snu: Propriétés topologiques, localement convexes et de prévalenceEsser, Céline Master's dissertation (2011) Detailed reference viewed: 48 (17 ULg) |
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