Results 51 to 60 of about 146 (115)
Ultraholomorphic extension theorems in the mixed setting [PDF]
, 2019 The aim of this work is to generalize the ultraholomorphic extension theorems from V. Thilliez in the weight sequence setting and from the authors in the weight function setting (of Roumieu type) to a mixed framework. Such mixed results have already been
Schindl, Gerhard +2 more
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On ultradifferentiable functions
, 2016 25 pages. Withdrawn and superseded by an extended version with the title "On the Siegel-Sternberg linearization theorem:"
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A correction to “Ultradifferentiable functions on lines in ℝⁿ" [PDF]
Proceedings of the American Mathematical Society, 2002 The proof of Theorem 1 in Proc. Amer. Math. Soc. 127 (1999), no. 7, 2099–2104, is revised.
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Convolution equations for ultradifferentiable functions and ultradistributions
Journal of Mathematical Analysis and Applications, 2004 For convolution operators acting on spaces of ultradistributions of Beurling type on open sets, the authors characterize the surjectivity of the operator (modulo ultrasmooth functions) in terms of a convexity condition for singular supports in the spirit of Hörmander's convexity conditions (Theorem A).
Frerick, L., Wengenroth, J.
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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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Existence and regularity of solutions of certain linear PDEs in spaces of ultradifferentiable functions. [PDF]
Este trabalho trata da existência e regularidade de soluções globais de equações diferenciais parciais de primeira ordem, definidas no toro n-dimensional Tn, Tn = Rn / (2πZn), no contexto de espaços de funções ultradiferenciáveis de tipo Beurling e ...
Vasconcellos, João Pedro Cardoso da Silva de
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Smooth solutions of quasianalytic or ultraholomorphic equations [PDF]
, 2010 8 pagesInternational audienceIn the first part of this work, we consider a polynomial $ \phi(x,y)=y^d+a_1(x)y^{d-1}+...+a_d(x) $ whose coefficients $ a_j $ belong to a Denjoy-Carleman quasianalytic local ring $ \mathcal{E}_1(M) $.
Thilliez, Vincent
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Indices of O-regular variation for weight functions and weight sequences [PDF]
, 2018 A plethora of spaces in Functional Analysis (Braun-Meise-Taylor and Carleman ultradifferentiable and ultraholomorphic classes; Orlicz, Besov, Lipschitz, Lebesque spaces, to cite the main ones) are defined by means of a weighted structure, obtained from a
Schindl, Gerhard +2 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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Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces [PDF]
, 2016 We introduce and study a number of new spaces of ultradifferentiable functions and ultradistributions and we apply our results to the study of the convolution of ultradistributions. The spaces of convolutors O-C'*(R-d) for tempered ultradistributions are
Pilipović, Stevan +3 more
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