Polynomials on the space of ω-ultradifferentiable functions [PDF]
, 2007 The space of polynomials on the space Dω of ω-ultradifferentiable functions is represented as the direct sum of completions of symmetric tensor powers of D′ω
Grasela, K.
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On invertibility of Duhamel operator in spaces of ultradifferentiable functions
Ufa Mathematical Journal, 2023 Summary: Let \(\Delta\) be a non-point segment or an (open) interval on the real line containing the point 0. In the space of entire functions realized by the Fourier-Laplace transform of the dual space to the space of ultradifferentiable or of all infinitely differentiable functions on \(\Delta \), we study the operators from the commutator subgroup ...
Olga Aleksandrovna Ivanova +1 more
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The Gabor wave front set in spaces of ultradifferentiable functions [PDF]
, 2019 [EN] We consider the spaces of ultradifferentiable functions S as introduced by Bjorck (and its dual S) and we use time-frequency analysis to define a suitable wave front set in this setting and obtain several applications: global regularity properties ...
Jornet Casanova, David +4 more
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Global pseudodifferential operators of infinite order in classes of ultradifferentiable functions [PDF]
, 2019 [EN] We develop a theory of pseudodifferential operators of infinite order for the global classes S. of ultradifferentiable functions in the sense of Bjorck, following the previous ideas given by Prangoski for ultradifferentiable classes in the sense of ...
Jornet Casanova, David +1 more
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Whitney’s extension theorem for ultradifferentiable functions of Beurling type
Arkiv för Matematik, 1988 The authors introduce classes of non-quasianalytic functions \({\mathcal E}_{\omega}({\mathbb{R}}^ n)\) similar to those treated by Beurling and Björck: Given a weight function \(\omega\) : \({\mathbb{R}}\to [0,\infty [\) (i.e. \(\omega\) is continuous, even, increasing on [0,\(\infty [\), satisfies \(\omega (0)=0\), lim \(\omega\) (t)\(=\infty ...
Meise, Reinhold, Taylor, B. Alan
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Dense-lineability in classes of ultradifferentiable functions [PDF]
, 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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Global pseudodifferential operators in spaces of ultradifferentiable functions [PDF]
, 2021 [ES] En esta tesis estudiamos operadores pseudodiferenciales, que son operadores integrales de la forma f 7→ ∫ Rd (∫ Rd ei(x−y)·ξa(x,y,ξ)f(y)dy)dξ, en las clases globales de funciones ultradiferenciables de tipo Beurling Sω(Rd) introducidas por Björck, cuando la función peso ω viene dada en el sentido de Braun, Meise y Taylor.
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The Kotake-Narasimhan Theorem in general ultradifferentiable classes [PDF]
, 2023 We prove a Kotake-Narasimhan type theorem in general ultradifferentiable classes given by weight matrices. In doing so we simultaneously recover and partially generalize the known results for classes given by weight sequences and weight functions.
Fürdös, Stefan
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On weighted inductive limits of spaces of ultradifferentiable functions and their duals [PDF]
, 2019 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, Debrouwere, Andreas
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Results of genericity concerning ultradifferentiable classes [PDF]
, 2018 The aim of this talk is to give several results concerning the ''size'' (from different points of view) of sets defined using ultradifferentiable classes.
Esser, Céline
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