Results 11 to 20 of about 837 (138)
On $q-$Gevrey asymptotics for singularly perturbed $q-$difference-differential problems with an irregular singularity [PDF]
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2011 We study a $q-$analog of a singularly perturbed Cauchy problem with irregular singularity in the complex domain which generalizes a previous result by S. Malek in \cite{malek}. First, we construct solutions defined in open $q-$spirals to the origin.
Lastra, Alberto, Malek, Stéphane
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Polynomials on the space of ω-ultradifferentiable functions [PDF]
Opuscula Mathematica, 2007 The space of polynomials on the the space \(D_{\omega}\) of \(\omega\)-ultradifferentiable functions is represented as the direct sum of completions of symmetric tensor powers of \(D^{\prime}_{\omega}\).
Katarzyna Grasela
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The overdetermined Cauchy problem for $$\omega $$ ω -ultradifferentiable functions [PDF]
manuscripta mathematica, 2017 In this paper we study the Cauchy problem for overdetermined systems of linear partial differential operators with constant coefficients in some spaces of $\omega$-ultradifferentiable functions in the sense of Braun, Meise and Taylor, for non-quasianalytic weight functions $\omega$.
Chiara Boiti, Elisabetta Gallucci
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Superposition in Classes of Ultradifferentiable Functions
Publications of the Research Institute for Mathematical Sciences, 2006 We present a complete characterization of the classes of ultradifferentiable functions that are holomorphically closed. Moreover, we show that any class holomorphically closed is also closed under composition (now without restrictions on the number of variables).
Carmen Fernández, Antonio Galbis
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Sheafs of ultradifferentiable functions [PDF]
An abstract theory of ultradifferentiable sheafs is developed. Moreover, various applications to the theory of linear partial differential equations, differential geometry and, in particular, CR geometry are discussed.
Stefan Fürdös
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Weighted $(PLB)$-spaces of ultradifferentiable functions and multiplier spaces [PDF]
Monatshefte für Mathematik, 2020 We study weighted $(PLB)$-spaces of ultradifferentiable functions defined via a weight function (in the sense of Braun, Meise and Taylor) and a weight system. We characterize when such spaces are ultrabornological in terms of the defining weight system. This generalizes Grothendieck's classical result that the space $\mathcal{O}_M$ of slowly increasing
Andreas Debrouwere, Lenny Neyt
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Ultradifferentiable functions on lines in ℝⁿ [PDF]
Proceedings of the American Mathematical Society, 1999 It is well known that a function f ∈ C ∞ ( R n ) f\in C^{\infty }(\mathbb {R}^{n}) whose restriction to every line in R n ...
Tejinder S. Neelon
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The algebra of polynomials on the space of ultradifferentiable functions [PDF]
Banach Center Publications, 2010 Katarzyna Grasela
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On ultradifferentiable functions [PDF]
, 2016 25 pages. Withdrawn and superseded by an extended version with the title "On the Siegel-Sternberg linearization theorem:"
P\"oschel, J\"urgen
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Whitney’s extension theorem for ultradifferentiable functions of Beurling type [PDF]
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 ...
Reinhold Meise, B. A. Taylor
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