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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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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Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting. [PDF]
Banach J Math Anal, 2021 Boiti C, Jornet D, Oliaro A, Schindl G.
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Eigenfunction expansions of ultradifferentiable functions and ultradistributions
Transactions of the American Mathematical Society, 2016 In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold X X
Dasgupta, Aparajita, Ruzhansky, Michael
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Ultradifferentiable functions on smooth plane curves
Journal of Mathematical Analysis and Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Equality of Ultradifferentiable Classes by Means of Indices of Mixed O-regular Variation. [PDF]
Results Math, 2022 Jiménez-Garrido J, Sanz J, Schindl G.
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Sheafs of ultradifferentiable functions
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.
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Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]
Results Math, 2023 Jiménez-Garrido J +3 more
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Nonlinear Conditions for Ultradifferentiability. [PDF]
J Geom Anal, 2021 Nenning DN, Rainer A, Schindl G.
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