Prolongement dans des classes ultradifférentiables et propriétés de régularité des compacts de
Vincent Thilliez (1996)
Annales Polonici Mathematici
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Considering jets, or functions, belonging to some strongly non-quasianalytic Carleman class on compact subsets of , 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)”.