caa a22 4500 477094813 CHVBK 20180405111524.0 cr unu---uuuuu 170330e19961101xx s 000 0 eng 10.1007/BF03322199 doi (NATIONALLICENCE)springer-10.1007/BF03322199 Valdivia Manuel Departamento de Análisis Matemático Universidad de Valencia Dr. Moliner, 5046100, Burjasot, Valencia, Spain aut On certain linear operators in spaces of ultradifferentiable functions [Elektronische Daten] [Manuel Valdivia] Summary: Let ω be a weight in the sense of Braun, Meise, Taylor, which defines a non-quasianalytic class. Let H be a compact subset of ℝ n . It is proved that for every function ƒ on ℝ n which belongs to the non-quasianalytic (ω)-class, there is an element g of the same class which is analytic on ℝ n \H and such that Dα ƒ(x) = Dα g(x) for every x ∈ H and α ∈ ℕ 0 n . A similar result is proved for functions of the Roumieu type. Continuous linear extension operators of Whitney jets with additional properties are also obtained. Birkhäuser Verlag, Basel, 1996 Results in Mathematics Birkhäuser-Verlag 30/3-4(1996-11-01), 321-345 0378-6218 30:3-4<321 1996 30 25 https://doi.org/10.1007/BF03322199 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF03322199 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Valdivia Manuel Departamento de Análisis Matemático Universidad de Valencia Dr. Moliner, 5046100, Burjasot, Valencia, Spain aut NATIONALLICENCE 773 0- Results in Mathematics Birkhäuser-Verlag 30/3-4(1996-11-01), 321-345 0378-6218 30:3-4<321 1996 30 25 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer