6533b86efe1ef96bd12cb32e
RESEARCH PRODUCT
Analytic Extension of Non Quasi - Analytic Whitney Jets of Beurling Type
Jean SchmetsManuel Valdiviasubject
Discrete mathematicsClass (set theory)Pure mathematicsSequenceLogarithmically convex functionGeneral MathematicsExtension (predicate logic)Function (mathematics)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 f on ℝn belonging to the non quasi - analytic (Mr)-class of Beurling type, there is an element g of the same class which is analytic on ℝ,nF and such that Dαf(x) = Dαg(x) for every α ∈ ℕn0 and x ∈ F.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-01-01 | Mathematische Nachrichten |