Ultradifferentiable functions via the Laguerre operator
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasWe define and characterize ultradifferentiable functions and their corresponding ultradistributions on $\RR^d_+$ using iterates of the Laguerre operator. The characterization is based on decay or growth conditions of the coefficients in their Laguerre series expansion.
Smiljana Jakšić +3 more
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Characterization of ultradifferentiable test functions defined by weight matrices in terms of their Fourier Transform [PDF]
, 2016 We prove that functions with compact support in non-quasianalytic classes $\mathcal{E}_{\{\mathcal{M}\}}$ of Roumieu-type and $\mathcal{E}_{(\mathcal{M})}$ of Beurling-type defined by a weight matrix $\mathcal{M}$ with some mild regularity conditions ...
Schindl, G.
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On the regularization of sequences and associated weight functions [PDF]
We revisit and generalize the geometric procedure of regularizing a sequence of real numbers with respect to a so-called regularizing function. This approach was studied by S.
Schindl, Gerhard
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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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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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On Boman's theorem on partial regularity of mappings [PDF]
, 2011 summary:Let $\Lambda \subset \mathbb{R}^{n}\times \mathbb{R}^{m}$ and $k$ be a positive integer. Let $f:\mathbb{R}^{n}\rightarrow \mathbb{R}^{m}$ be a locally bounded map such that for each $(\xi ,\eta )\in \Lambda $, the derivatives $D_{\xi }^{j}f(x):= \
Tejinder S. Neelon, Neelon, Tejinder S.
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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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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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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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On Kernels of Convolution Operators in the Roumieu Spaces of Ultradifferentiable Functions
Владикавказский математический журналВ работе исследуются операторы свертки в пространствах Румье ультрадифференцируемых функций нормального типа на числовой прямой. К данному классу пространств относятся известные классы Жевре. В качестве частных случаев операторы свертки включают в себя дифференциальные операторы бесконечного порядка с постоянными коэффициентами, дифференциально ...
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