On weighted inductive limits of spaces of ultradifferentiable functions and their duals
, 2018 In the first part of this paper we discuss the completeness of two general classes of weighted inductive limits of spaces of ultradifferentiable functions.
Vindas Diaz, Jasson +2 more
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Dense-lineability in classes of ultradifferentiable functions
, 2015 The Denjoy-Carleman classes are spaces of smooth functions which satisfy growth conditions on their derivatives defined through weight sequences.
Esser, Céline
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A note on the barrelledness of weighted $(PLB)$-spaces of ultradifferentiable functions
, 2022 In this note we consider weighted $(PLB)$-spaces of ultradifferentiable functions defined via a weight function and a weight system, as introduced in our previous work [4]. We provide a complete characterization of when these spaces are ultrabornological
Debrouwere, Andreas, Neyt, Lenny
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Equality of Ultradifferentiable Classes by Means of Indices of Mixed O-regular Variation. [PDF]
Results Math, 2022 Jiménez-Garrido J, Sanz J, Schindl G.
europepmc +1 more source
Nonlinear Conditions for Ultradifferentiability. [PDF]
J Geom Anal, 2021 Nenning DN, Rainer A, Schindl G.
europepmc +1 more source
On Kernels of Convolution Operators in the Roumieu Spaces of Ultradifferentiable Functions
Владикавказский математический журналВ работе исследуются операторы свертки в пространствах Румье ультрадифференцируемых функций нормального типа на числовой прямой. К данному классу пространств относятся известные классы Жевре. В качестве частных случаев операторы свертки включают в себя дифференциальные операторы бесконечного порядка с постоянными коэффициентами, дифференциально ...
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Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]
Results Math, 2023 Jiménez-Garrido J +3 more
europepmc +1 more source
Quasinormability and property $(\Omega)$ for spaces of smooth and ultradifferentiable vectors associated with Lie group representations [PDF]
We prove that the spaces of smooth and ultradifferentiable vectors associated with a representation of a real Lie group on a Fr\'{e}chet space $E$ are quasinormable if $E$ is so.
Huttener, Michiel +2 more
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Genericity and classes of ultradifferentiable functions
, 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
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Polynomials on the space of ω-ultradifferentiable functions
Tyt. z nagł.References p. 230.Dostępny również w formie drukowanej.ABSTRACT: The space of polynomials on the space Dω of -ultradifferentiable functions is represented as the direct sum of completions of symmetric tensor powers of D′ω. KEYWORDS: boundary
Grasela, Katarzyna.
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