Results 71 to 80 of about 106 (97)

Extension of ultradifferentiable functions of Roumieu type

Archiv der Mathematik, 1988
Let \(K\subset {\mathbb{R}}^ n\) 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
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Stability Zones in Whitney's Extension Problem for Ultradifferentiable Functions

Mathematical Notes, 2002
The author establishes a connection between the growth rate of weight functions \(\omega\) generating nonquasianalytic classes of ultradifferentiable functions of Beurling and Roumien type and the validity of analogues of Whitney's extension theorem for these classes.
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Continuous Linear Extension of Ultradifferentiable Functions of Beurling Type

Mathematische Nachrichten, 1993
AbstractFor 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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Spaces of Ultradifferentiable Functions of Multi-anisotropic Type

2020
The paper deals first with the relationship between multi-anisotropic Gevrey spaces and Denjoy-Carleman spaces and then it introduces a class of ultradifferentiable functions unifying these both spaces.
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Almost Analytic Extensions and Ultradifferentiable functions

SINET: Ethiopian Journal of Science
The 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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Spaces of ultradifferentiable functions and applications II

2007
ENG
J. Bonet, M. C. Ggomez, C. Fernandez, RODINO, Luigi Giacomo   +3 more
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The expanding regulatory mechanisms and cellular functions of circular RNAs

Nature Reviews Molecular Cell Biology, 2020
Ling-Ling Chen
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Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello, Ling-Ling Chen, Maite Huarte   +2 more
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A framework for understanding the functions of biomolecular condensates across scales

Nature Reviews Molecular Cell Biology, 2020
Michael K Rosen
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Global view of human protein glycosylation pathways and functions

Nature Reviews Molecular Cell Biology, 2020
Katrine T Schjoldager, Yoshiki Narimatsu, Hiren J Joshi   +2 more
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