Results 61 to 70 of about 108 (94)

Ultradifferentiable Chevalley theorems and isotropic functions [PDF]

Annali Di Matematica Pura Ed Applicata, 2020
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Armin Rainer, Rainer Armin
exaly   +3 more sources

Generic results in classes of ultradifferentiable functions

Journal of Mathematical Analysis and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Celine Esser
exaly   +4 more sources

Ultradifferentiable Functions and Ultradistributions

Series on Analysis, Applications and Computation, 2007
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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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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 via the Laguerre operator

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas
We 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 Jaksic, Stevan Pilipovic, Đorđe Vučković   +2 more
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Continuation of functionals on ultradifferentiable function spaces

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.
Pathak, R. S., Paul, A. C.
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The cauchy and poisson kernels as ultradifferentiable functions

Complex Variables and Elliptic Equations, 1998
Let C be an open convex cone in such that does not contain any entire straight line. We previously have shown that the Cauchy and Poisson kernel functions corresponding to the tube are elements of the ultradifferentiable function spaces , where ∗ is either (Mp ) or {Mp }.
Richard D Carmichael
exaly   +3 more sources

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.
openaire   +1 more source

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.
openaire   +2 more sources