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UID:6447@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20210415T140000
DTEND;TZID=Europe/Paris:20210415T150000
DTSTAMP:20250118T133102Z
URL:https://www.i2m.univ-amu.fr/evenements/efroymsons-approximation-theore
 m-for-globally-subanalytic-functions/
SUMMARY:Anna Valette (Jagiellonian University\, Kraków\, Poland): Efroymso
 n's Approximation Theorem for globally subanalytic  functions
DESCRIPTION:Anna Valette: Efroymson's Approximation Theorem asserts that if
  f is a continuous semialgebraic mapping on a C^infinity semialgebraic sub
 manifold M of ℝⁿ and if e : M→ℝ is a positive continuous semialgeb
 raic function then there is a C^infinity semialgebraic function g:M→ℝ 
 such that |f-g|&lt\;e. The aim of this talk is to give some insights into 
 the proof of generalized Efroymson's theorem to the globally subanalytic c
 ategory.\nOur framework is however much bigger than this category since ou
 r approximation theorems hold on every polynomially bounded o-minimal stru
 cture expanding the real field that admits C^infinity cell decomposition. 
 In particular\, it applies to quasi-analytic Denjoy-Carleman classes.\nWor
 k in collaboration with Guillaume Valette.\nhttps://arxiv.org/abs/1905.057
 03\n\n&nbsp\;\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/04/Anna_Valette.jpg
CATEGORIES:Groupe de travail,Singularités,Virtual event
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DTSTART:20210328T030000
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