Extension maps in ultradifferentiable and ultraholomorphic function spaces [PDF]
, 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
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A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions [PDF]
, 2016 [EN] We give a simple proof of a general theorem of Kotake-Narasimhan for elliptic operators in the setting of ultradifferentiable functions in the sense of Braun, Meise and Taylor. We follow the ideas of Komatsu. Based on an example of Metivier, we also
Jornet Casanova, David +2 more
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How far is the Borel map from being surjective in quasianalytic ultradifferentiable classes?, [PDF]
, 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
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Eigenfunction expansions of ultradifferentiable functions and ultradistributions
Transactions of the American Mathematical Society, 2016 In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold X X
Dasgupta, Aparajita, Ruzhansky, Michael
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Existence and regularity of ultradifferentiable periodic solutions to certain vector fields [PDF]
, 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.
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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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Ultradifferentiable functions on smooth plane curves
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Surjectivity of convolution operators on spaces of ultradifferentiable functions of Roumieu type [PDF]
, 1997 Let $ε_{{ω}}(I)$ denote the space of all ω-ultradifferentiable functions of Roumieu type on an open interval I in ℝ. In the special case ω(t) = t we get the real-analytic functions on I.
Meyer, Thomas
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