Results 11 to 20 of about 152 (97)
Iterates of systems of operators in spaces of $\omega $-ultradifferentiable functions [PDF]
Annales Polonici Mathematici, 2016 Given two systems $P=(P_j(D))_{j=1}^N$ and $Q=(Q_j(D))_{j=1}^M$ of linear partial differential operators with constant coefficients, we consider the spaces ${\mathcal E}_ ^P$ and ${\mathcal E}_ ^Q$ of $ $-ultradifferentiable functions with respect to the iterates of the systems $P$ and $Q$ respectively.
BOITI, Chiara +2 more
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On invertibility of Duhamel operator in spaces of ultradifferentiable functions
Ufa Mathematical Journal, 2023 Summary: Let \(\Delta\) be a non-point segment or an (open) interval on the real line containing the point 0. In the space of entire functions realized by the Fourier-Laplace transform of the dual space to the space of ultradifferentiable or of all infinitely differentiable functions on \(\Delta \), we study the operators from the commutator subgroup ...
Olga Aleksandrovna Ivanova +1 more
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Transfer operators for ultradifferentiable expanding maps of the circle [PDF]
Ergodic Theory and Dynamical Systems, 2020 Given a ${\mathcal{C}}^{\infty }$ expanding map $T$ of the circle, we construct a Hilbert space ${\mathcal{H}}$ of smooth functions on which the transfer operator ${\mathcal{L}}$ associated to $T$ acts as a compact operator. This result is made quantitative (in terms of singular values of the operator ${\mathcal{L}}$ acting on ${\mathcal{H}}$) using ...
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Nuclearity of Hankel operators for ultradifferentiable control systems [PDF]
Systems & Control Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Local operators between spaces of ultradifferentiable functions and ultradistributions
Manuscripta Mathematica, 1982 Inspired by \textit{J. Peetre}'s abstract characterization of differential operators [Math. Scand. 8, 116-120 (1960; Zbl 0097.104)], the authors consider local operators \(T: {\mathcal F}_ 1(\Omega)\to {\mathcal F}_ 2(\Omega)\) where \(\Omega \subset {\mathbb{R}}^ N\) is open and \({\mathcal F}_ i(\Omega)\) are spaces of infinitely differentiable ...
Neumann, M., Albrecht, Ernst
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Convolutors on $\mathcal{S}_\omega(\mathbb{R}^N)$
, 2021 In this paper we continue the study of the spaces $\mathcal{O}_{M,\omega}(\mathbb{R}^N)$ and $\mathcal{O}_{C,\omega}(\mathbb{R}^N)$ undertaken in [1].
Albanese, Angela A., Mele, Claudio
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Optimal embeddings of ultradistributions into differential algebras
, 2017 We construct embeddings of spaces of non-quasianalytic ultradistributions into differential algebras enjoying optimal properties in view of a Schwartz type impossibility result, also shown in this article. We develop microlocal analysis in these algebras
Debrouwere, Andreas +2 more
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Iterates of differential operators and vector valued functions on non quasi analytic classes [PDF]
, 2011 En el año 1960 Komatsu introdujo ciertas clases de funciones infinitamente derivables definidas mediante estimaciones del crecimiento de los sucesivos iterados de un operador en derivadas parciales cuando estudiaba propiedades de regularidad de las ...
Juan Huguet, Jordi
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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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Theory of pseudo-differential operators of ultradifferentiable class
Kyoto Journal of Mathematics, 1987 The author presents a theory of pseudo differential operators in the frame of the ultradifferentiable functions, \(f\in C^ M({\mathbb{R}}^ n)\), defined by a sequence \(M=(M_ n)\) of positive numbers for which \(\sup_{x\in K}| D^{\alpha}f(x)| \leq CR^{| \alpha |}M_{| \alpha |},\) with suitable constants C and R depending on \(K\subset \subset R^ n ...
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