Results 61 to 70 of about 837 (138)
, 2016 The 3D incompressible Euler equation is an important research topic in the mathematical study of fluid dynamics. Not only is the global regularity for smooth initial data an open issue, but the behaviour may also depend on the presence or absence of ...
Besse, Nicolas, Frisch, Uriel
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Linearization of analytic and non--analytic germs of diffeomorphisms of $({\mathbb C},0)$
, 2000 We study Siegel's center problem on the linearization of germs of diffeomorphisms in one variable. In addition of the classical problems of formal and analytic linearization, we give sufficient conditions for the linearization to belong to some algebras ...
Carletti, T., Marmi, S.
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A projective description of generalized Gelfand-Shilov spaces of Roumieu type
, 2019 We provide a projective description for a class of generalized Gelfand-Shilov spaces of Roumieu type. In particular, our results apply to the classical Gelfand-Shilov spaces and weighted $L^\infty$-spaces of ultradifferentiable functions of Roumieu type ...
Debrouwere, Andreas, Vindas, Jasson
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, 2002 In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic
Delcroix, Antoine +3 more
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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 the Projective Description of Spaces of Ultradifferentiable Functions of Roumieu Type
, 2021 We provide a projective description of the space $\mathcal{E}^{\{\mathfrak{M}\}}(Ω)$ of ultradifferentiable functions of Roumieu type, where $Ω$ is an arbitrary open set in $\mathbb{R}^d$ and $\mathfrak{M}$ is a weight matrix satisfying the analogue of Komatsu's condition $(M.2)'$.
Debrouwere, Andreas +2 more
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Ultradifferentiable CR manifolds
, 2017 In this article the notion of ultradifferentiable CR manifold is introduced and an ultradifferentiable regularity result for finitely nondegenerate CR mappings is proven.
Fürdös, Stefan
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The Gabor wave front set in spaces of ultradifferentiable functions [PDF]
, 2019 Chiara Boiti +2 more
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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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