Results 41 to 50 of about 105 (96)
On ultradifferentiable functions
, 2016 We give complete and exact descriptions of spaces of ultradifferentiable functions that are closed under composition with either holomorphic or ultradifferentiable functions -- which are two distinct cases. The proof works by considering formal power series, and stability under differentiation is not required.
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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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Equivalence of stability properties for ultradifferentiable function classes [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2015 16 pages, some stylistic chances made, accepted for publication in Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser.
Rainer, Armin, Schindl, Gerhard
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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 . The characterisation is given in terms of the eigenfunction expansion of an elliptic operator on X X .
Dasgupta, Aparajita, Ruzhansky, Michael
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Extension maps in ultradifferentiable and ultraholomorphic function spaces [PDF]
Studia Mathematica, 2000 The famous theorem of E. Borel that for every sequence \((c_n)_{n\in\mathbb{N}_0}\) of complex numbers there is a \(C^\infty\)-function \(f\) on the real line with \(f^{(n)}(0)= c_n\) for each \(n\in\mathbb{N}_0\) was sharpened by \textit{J. F. Ritt} [Ann. of Math.
Schmets, Jean, Valdivia, Manuel
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Whitney’s extension theorem for ultradifferentiable functions of Beurling type
Arkiv för Matematik, 1988 The authors introduce classes of non-quasianalytic functions \({\mathcal E}_{\omega}({\mathbb{R}}^ n)\) similar to those treated by Beurling and Björck: Given a weight function \(\omega\) : \({\mathbb{R}}\to [0,\infty [\) (i.e. \(\omega\) is continuous, even, increasing on [0,\(\infty [\), satisfies \(\omega (0)=0\), lim \(\omega\) (t)\(=\infty ...
Meise, Reinhold, Taylor, B. Alan
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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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Generic results in classes of ultradifferentiable functions
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Equality of Ultradifferentiable Classes by Means of Indices of Mixed O-regular Variation. [PDF]
Results Math, 2022 Jiménez-Garrido J, Sanz J, Schindl G.
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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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