Results 21 to 30 of about 276 (127)
Boundary Values in Ultradistribution Spaces Related to Extended Gevrey Regularity
Mathematics, 2020 Following the well-known theory of Beurling and Roumieu ultradistributions, we investigate new spaces of ultradistributions as dual spaces of test functions which correspond to associated functions of logarithmic-type growth at infinity.
Stevan Pilipović +2 more
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Universality and ultradifferentiable functions: Fekete’s theorem [PDF]
Proceedings of the American Mathematical Society, 2010 The purpose of this article is to establish extensions of Fekete’s Theorem concerning the existence of universal power series of C
Mouze, Augustin, Nestoridis, V.
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Karpatsʹkì Matematičnì Publìkacìï, 2013 The representation of convolution Gevrey algebra of ultradistributions as commutant of the $n$-parametric strongly continuous semigroup of shifts in algebra of linear and continuous mappings over the space of ultradifferentiable Gevrey functions with ...
A. V. Solomko
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Superposition in Classes of Ultradifferentiable Functions
Publications of the Research Institute for Mathematical Sciences, 2006 We present a complete characterization of the classes of ultradifferentiable functions that are holomorphically closed. Moreover, we show that any class holomorphically closed is also closed under composition (now without restrictions on the number of variables).
Fernández, Carmen, Galbis, Antonio
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The Problem of Iterates in Some Classes of Ultradifferentiable Functions [PDF]
, 2015 We consider the problem of iterates in some spaces of ultradifferentiable classes in the sense of Braun, Meise and Taylor. In particular, we obtain a microlocal version, in this setting of functions, of the ``Theorem of the iterates of Kotake and ...
David Jornet, BOITI, Chiara
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Application of the functional calculus to solving of infinite dimensional heat equation
Karpatsʹkì Matematičnì Publìkacìï, 2016 In this paper we study infinite dimensional heat equation associated with the Gross Laplacian. Using the functional calculus method, we obtain the solution of appropriate Cauchy problem in the space of polynomial ultradifferentiable functions.
S.V. Sharyn
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On a class of ultradifferentiable functions
Novi Sad Journal of Mathematics, 2015 Summary: We introduce a class of ultradifferentiable functions which contains Gevrey functions and study its basic properties. In particular, we investigate the continuity properties of certain (ultra)differentiable operators. Finally, we discuss microlocal properties in appropriate dual spaces.
Pilipović, Stevan +2 more
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Real Paley-Wiener theorems in spaces of ultradifferentiable functions [PDF]
, 2020 [EN] We develop real Paley-Wiener theorems for classes S-omega of ultradifferentiable functions and related L-p-spaces in the spirit of Bang and Andersen for the Schwartz class. We introduce results of this type for the so-called Gabor transform and give
Jornet Casanova, David +5 more
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Quantizations and Global Hypoellipticity for Pseudodifferential Operators of Infinite Order in Classes of Ultradifferentiable Functions [PDF]
, 2022 [EN] We study the change of quantization for a class of global pseudodifferential operators of infinite order in the setting of ultradifferentiable functions of Beurling type.
Asensio López, Vicente
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Comment on “On the Carleman Classes of Vectors of a Scalar Type Spectral Operator”
International Journal of Mathematics and Mathematical Sciences, Volume 2018, Issue 1, 2018., 2018 The results of three papers, in which the author inadvertently overlooks certain deficiencies in the descriptions of the Carleman classes of vectors, in particular the Gevrey classes, of a scalar type spectral operator in a complex Banach space established in “On the Carleman Classes of Vectors of a Scalar Type Spectral Operator,” Int. J. Math.
Marat V. Markin, Yuri Latushkin
wiley +1 more source