On the Inclusion Relations of Global Ultradifferentiable Classes Defined by Weight Matrices. [PDF]
Mediterr J MathBoiti C, Jornet D, Oliaro A, Schindl G.
europepmc +1 more source
Ellipticity and the problem of iterates in Denjoy-Carleman classes. [PDF]
Collect MathFürdös S, Schindl G.
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Stability properties of ultraholomorphic classes of Roumieu-type defined by weight matrices. [PDF]
Rev R Acad Cienc Exactas Fis Nat A MatJiménez-Garrido J +3 more
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On Orlicz classes defined in terms of associated weight functions. [PDF]
Mon Hefte MathSchindl G.
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The algebra of polynomials on the space of ultradifferentiable functions [PDF]
Banach Center Publications, 2010 openaire +1 more source
Ultradifferentiable fundamental kernel of linear partial differential operators on non-quasianalytic classes of Roumieu type [PDF]
, 2007 ALBANESE, Angela Anna
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The implicit function theorem for ultradifferentiable mappings
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1979 openaire +2 more sources
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The cauchy and poisson kernels as ultradifferentiable functions
Complex Variables and Elliptic Equations, 1998Let C be an open convex cone in such that does not contain any entire straight line. We previously have shown that the Cauchy and Poisson kernel functions corresponding to the tube are elements of the ultradifferentiable function spaces , where ∗ is either (Mp ) or {Mp }.
Richard D Carmichael, S Pilipovic
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Extension of ultradifferentiable functions of Roumieu type
Archiv Der Mathematik, 1988Let \(K\subset {\mathbb{R}}^ n\) be a compact convex set and let \(E_{\{M_ j\}}(K)\) denote the ultradifferentiable functions of Roumieu type on K. It is shown, that there is no continuous linear extension operator \(T: E_{\{M_ j\}}(K)\to E_{\{M_ j\}}(J)\), if the sequence \((M_ j)\) is regular (\(K\subset\overset\circ J\subset {\mathbb{R}}^ n)\). This
Michael Langenbruch +1 more
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On generalized definitions of ultradifferentiable classes [PDF]
Journal of Mathematical Analysis and Applications, 2023 We show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipovi\'c, N. Teofanov and F. Tomi\'c are special cases of the general framework of spaces of ultradifferentiable functions defined in terms of weight ...
Javier Jiménez-Garrido +2 more
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