6533b862fe1ef96bd12c60e1
RESEARCH PRODUCT
Analytic extension of non quasi-analytic Whitney jets of Roumieu type
Jean SchmetsManuel Valdiviasubject
CombinatoricsClass (set theory)SequenceMathematics (miscellaneous)Logarithmically convex functionApplied MathematicsFunction (mathematics)Extension (predicate logic)Element (category theory)Type (model theory)Mathematicsdescription
Let (Mr)r∈ℕ0 be a logarithmically convex sequence of positive numbers which verifies M0 = 1 as well as Mr≥ 1 for every r ∈ ℕ and defines a non quasi-analytic class. Let moreover F be a closed proper subset of ℝn. Then for every function ƒ on ℝn belonging to the non quasi-analytic (Mr)-class of Roumieu type, there is an element g of the same class which is analytic on ℝnF and such that Dα ƒ(x) = Dαg(x) for every σ ∈ ƒ0n SBAP and x ∈ F.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-05-01 | Results in Mathematics |