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ArticleOriginal scientific text

Title

Prolongement dans des classes ultradifférentiables et propriétés de régularité des compacts de ℝn

Authors 1

Affiliations

  1. CNRS-URA 751, Mathématiques-Bât. M2, Université des Sciences et Technologies de Lille, F-59655 Villeneuve D'Ascq Cedex, France

Abstract

Considering jets, or functions, belonging to some strongly non-quasianalytic Carleman class on compact subsets of ℝn, we extend them to the whole space with a loss of Carleman regularity. This loss is related to geometric conditions refining Łojasiewicz's "regular separation" or Whitney's "property (P)".

Keywords

ENG
Carleman class, extension theorem, Łojasiewicz inequalities, Whitney regularity

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Annales Polonici Mathematici
1996/63/1
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Pages:
71-88
Main language of publication
French
Received
1994-12-19
Published
1996
Exact and natural sciences