Results 111 to 120 of about 276 (127)
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Invariant Subspaces in Nonquasianalytic Spaces of Ω-Ultradifferentiable Functions on an Interval
Russian Mathematics, 2023In this paper we consider a weakened version of the spectral synthesis for the differentiation operator in nonquasianalytic spaces of ultradifferentiable functions. We deal with the widest possible class of spaces of ultradifferentiable functions among all known ones.
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Mathematische Nachrichten, 1989
Let \(K\subset {\mathbb{R}}^ n\) be a compact set with \(\overset \circ K\neq \emptyset\) which is of the form \(K=\prod^{m}_{j=1}\bar G_ j\) where \(G_ j\subset {\mathbb{R}}^{n_ j}\), \(1\leq n_ j\leq n\), is a bounded open set with real-analytic boundary.
Meise, Reinhold, Taylor, B. Alan
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Let \(K\subset {\mathbb{R}}^ n\) be a compact set with \(\overset \circ K\neq \emptyset\) which is of the form \(K=\prod^{m}_{j=1}\bar G_ j\) where \(G_ j\subset {\mathbb{R}}^{n_ j}\), \(1\leq n_ j\leq n\), is a bounded open set with real-analytic boundary.
Meise, Reinhold, Taylor, B. Alan
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On Borel’s theorem for spaces of ultradifferentiable functions of mean type
Results in Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Roots in differential rings of ultradifferentiable functions
Analysis Mathematica, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Continuous Linear Extension of Ultradifferentiable Functions of Beurling Type
Mathematische Nachrichten, 1993AbstractFor a weight function ω and a closed set A ⊂ ℝN let ℰ(ω)(A) denote the space of all ω‐Whitney jets of Beurling type on A. It is shown that for each closed set A ⊂ ℝN there exists an ω‐extension operator EA: ℰ(ω)(A) → ℰ(ω)(ℝN) if and only if ω is a (DN)‐function (see MEISE and TAYLOR [18], 3.3).
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Almost Analytic Extensions and Ultradifferentiable functions
SINET: Ethiopian Journal of ScienceThe notion of almost analytic extension has found numerous applications in various fields. This paper provides a comprehensive characterization of ultradifferentiable functions by examining the existence of almost analytic extensions.
Yesuf, Jemal, Abdi, Tadesse
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Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis
Journal of Mathematical Analysis and Applications, 2020Stefan Furdos +2 more
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On the Projective Description of Spaces of Ultradifferentiable Functions of Roumieu Type
Trends in Mathematics, 2022Andreas Debrouwere +2 more
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Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting
Banach Journal of Mathematical Analysis, 2020Chiara Boiti +2 more
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Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis
Collectanea Mathematica, 2020Chiara Boiti +2 more
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