Results 71 to 80 of about 276 (127)

How far is the Borel map from being surjective in quasianalytic ultradifferentiable classes?, [PDF]

open access: yes, 2018
peer reviewedThe Borel map $j^{\infty}$ takes germs at 0 of smooth functions to the sequence of iterated partial derivatives at 0. In the literature, it is well known that the restriction of $j^{\infty}$ to the germs of quasianalytic ultradifferentiable ...
Schindl, Gerhard, Esser, Céline
core   +1 more source

Ultradifferentiable functions on smooth plane curves

open access: yesJournal of Mathematical Analysis and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Ultradifferentiable CR manifolds [PDF]

open access: yes, 2017
Das Hauptthema dieser Arbeit ist die Untersuchung der Regularität von CR Abbildungen zwischen ultradifferenzierbaren CR Mannigfaltigkeiten. Ultradifferenzierbar ist hier im Sinne von Denjoy-Carleman Klassen gemeint, d.h.
Fürdös, Stefan
core  

Genericity and classes of ultradifferentiable functions [PDF]

open access: yes, 2014
As surprising as it may seem, there exist infinitely differentiable functions which are nowhere analytic. When such an unexpected object is found, a natural question is to ask whether many similar ones may exist. A classical technique is to use the Baire
Esser, Céline
core  

Existence and regularity of ultradifferentiable periodic solutions to certain vector fields [PDF]

open access: yes, 2023
We consider a class of first-order partial differential operators, acting on the space of ultradifferentiable periodic functions, and we describe their range by using the following conditions on the coefficients of the operators: the connectedness of ...
Gonzalez, Rafael B.
core   +1 more source

Sheafs of ultradifferentiable functions

open access: yes
An abstract theory of ultradifferentiable sheafs is developed. Moreover, various applications to the theory of linear partial differential equations, differential geometry and, in particular, CR geometry are discussed.
openaire   +2 more sources

Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]

open access: yesResults Math, 2023
Jiménez-Garrido J   +3 more
europepmc   +1 more source

Extension of Functions with ω-Rapid Polynomial Approximation [PDF]

open access: yes, 1995
For a weight function ω : [0, ∞[ → [0, ∞[ we denote by E(ω)(RN) the class of all ω-ultradifferentiable functions of Beurling type on RN. Each element in E(ω)(RN) is a function with ω-rapid polynomial approximation on each compact set K ⊂ of RN, whenever ...
Franken, U.
core   +1 more source

Nonlinear Conditions for Ultradifferentiability. [PDF]

open access: yesJ Geom Anal, 2021
Nenning DN, Rainer A, Schindl G.
europepmc   +1 more source

Extension maps in ultradifferentiable and ultraholomorphic function spaces [PDF]

open access: yes, 2000
The problem of the existence of extension maps from 0 to ℝ in the setting of the classical ultradifferentiable function spaces has been solved by Petzsche [9] by proving a generalization of the Borel and Mityagin theorems for $C^{∞}$-spaces.
Schmets, Jean, Valdivia, Manuel
core  

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