Results 51 to 60 of about 3,122,419 (133)
Ultradifferentiable Chevalley theorems and isotropic functions [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2020 12 ...
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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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The overdetermined Cauchy problem in some classes of ultradifferentiable functions
, 2001 In this paper we study the Cauchy problem for overdetermined systems of linear partial differential operators with constant coefficients in some spaces of ultradifferentiable functions of class (M_p ). We show that evolution is equivalent to the validity
Boiti C., Nacinovich M.
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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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, 2021 In this paper we study regularity of partial differential equations with polynomial coefficients in non isotropic Beurling spaces of ultradifferentiable functions of global type.
Alessandro Oliaro, Claudio Mele
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Interpolation of derivatives and ultradifferentiable regularity [PDF]
, 2023 We review some interpolation inequalities for derivatives and results on ultradifferentiable regularity by lacunary estimates.Comment: 16 ...
Schindl, Gerhard, Rainer, Armin
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Results of genericity concerning ultradifferentiable classes [PDF]
, 2018 The aim of this talk is to give several results concerning the ''size'' (from different points of view) of sets defined using ultradifferentiable classes.
Esser, Céline
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Ultrarapidly decreasing ultradifferentiable functions, Wigner distributions and density matrices
, 2008 International audienceSpaces S(omega), S{(omega) over bar}, S((omega) over bar) of ultradecreasing ultradifferentiable (or for short, ultra-S) functions, depending on a weight e(omega(x)), are introduced in the context of quantum statistics.
Jean-Marie Aubry, Aubry, Jean-Marie
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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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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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