Results 81 to 90 of about 146 (115)

ULTRADIFFERENTIABLE FUNCTION ト ULTRADISTRIBUTION ノ クウカン ノ イソウテキ コウゾウ ダイスウ カイセキガク ノ サイキン ノ テンカイ [PDF]

, 1974
小松, 彦三郎
core  

The implicit function theorem for ultradifferentiable mappings

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1979
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Continuation of functionals on ultradifferentiable function spaces [PDF]

Analysis Mathematica, 1995
The paper generalizes a few results of \textit{M. A. Solov'ev} [Theor. Math. Phys. 15, 317-328 (1974; Zbl 0273.46030)] and adds further results in line with the first author's work on the subject. The Fourier-Laplace transform of functionals defined on the spaces \(Sa^q_k\) are considered. It may be mentioned here that \textit{J. M. C.
R S Pathak
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Generic results in classes of ultradifferentiable functions [PDF]

Journal of Mathematical Analysis and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Celine Esser
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Pseudodifferential operators involving linear canonical Hankel transformations on some ultradifferentiable function spaces [PDF]

Mathematical Methods in the Applied Sciences, 2021
Tanuj Kumar, Akhilesh Prasad
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Holomorphic approximation of ultradifferentiable functions

Mathematische Annalen, 1981
Introduct ion Let S be a closed subset of some open set in Cn and denote by dT(S) the space of germs of holomorphic functions on (a neighborhood of) S. For a space F(S) of tEvalued (continuous, differentiable etc.) functions on S [containing t~(S)] the problem of holomorphic approximation consists of finding conditions to ensure that the natural ...
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Ultradifferentiable Chevalley theorems and isotropic functions [PDF]

Annali Di Matematica Pura Ed Applicata, 2020
12 ...
Armin Rainer, Rainer Armin
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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
Michael Langenbruch, Langenbruch Michael   +1 more
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Ultradifferentiable Functions on Compact Intervals

Mathematische Nachrichten, 1989
The author deals with finding the spaces of ultradifferentiable functions which are linear topologically isomorphic to a power series space. The problem is treated for the spaces \({\mathcal E}_{(M_ p)}(I)\) (and \({\mathcal E}_{\{M_ p\}}(I))\) of all ultradifferentiable functions of the Beurling type (resp.
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Ultradifferentiable functions and Fourier analysis

Results in Mathematics, 1990
In Beurling's approach to ultradifferentiable functions, decay properties of the Fourier transform of the functions are imposed rather than growth conditions on the derivatives, as it has been done classically. In the present article the authors modify Beurling's approach. They define for nonempty open subsets \(\Omega\) of \(\mathbb{R}^ N\) the spaces
Braun, R. W., Meise, R., Taylor, B. A.
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