Inhomogeneous Gevrey classes and ultradistributions [PDF]
Starting from the definition of inhomogeneous Gevrey classes given by \textit{O. Liess} and \textit{L. Rodino} [Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 3, 233--323 (1984; Zbl 0557.35131)], the authors introduce the non-quasi-analytic inhomogeneous Gevrey classes of Roumieu type, denoted by \(G^{s, \lambda}.\) Such a class of ...
Calvo, Daniela +2 more
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Gelfand–Shilov Spaces for Extended Gevrey Regularity [PDF]
We consider spaces of smooth functions obtained by relaxing Gevrey-type regularity and decay conditions. It is shown that these classes can be introduced by using the general framework of the weighted matrices approach to ultradifferentiable functions ...
Nenad Teofanov +2 more
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FBI transform in Gevrey classes and Anosov flows [PDF]
v2: Main result improved with respect to v1.
Bonthonneau, Yannick Guedes +1 more
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The Zahorski theorem is valid in Gevrey classes [PDF]
The well-known Zahorski theorem [\textit{Z. Zahorski}, Fundam. Math. 34, 183-245 (1947; Zbl 0033.25504)] asserts that for every partition \(\{\Omega,F,G\}\) of \([0,1]\subset\mathbb{R}\), where \(\Omega\) is an open subset of \([0,1]\), \(F\) is a (Baire) first category \(F_\sigma\)-subset of \([0,1]\) and \(G\) is a \(G_\delta\)-subset of \([0,1 ...
Schmets, Jean, Valdivia, Manuel
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Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes [PDF]
In this paper, we study existence times of strong solutions of the three-dimensional Navier-Stokes equations in time-varying analytic Gevrey classes based on Sobolev spaces Hᶳ,s > ½. This complements the seminal work of Foias and Temam (1989) on H¹ based
Hudson, Joshua +2 more
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Symbols of Pseudodifferential Operators Associated to Gevrey Kernel's Type [PDF]
In this article, we aim at proving the truthfulness of the inverse Theorem (1) of [5]. More precisely, we associated symbols of Gevrey type to pseudodifferential operators when the latter are given by their kernels.
Hazi, Mohammed
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Resurgence of a de Sitter Glauber‐Sudarshan State: Nodal Diagrams and Borel Resummation
Abstract It is shown in this article that an explicit construction of a four‐dimensional de Sitter space may be performed using a diagrammatic approach via nodal diagrams emanating from the path integral representation of the Glauber‐Sudarshan state. Sum of these diagrams typically leads to an asymptotic series of Gevrey kind which can then be Borel ...
Suddhasattwa Brahma +6 more
wiley +1 more source
Gevrey Classes on compact Lie groups and applications [PDF]
Nesse trabalho estudamos as classes de Gevrey e as ultradistribuições em grupos de Lie compactos, que é a generalização natural do toro no contexto de análise de Fourier. Para tal utilizamos a teoria de vetores Gevrey.
Nicholas Braun Rodrigues +1 more
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Hypoellipticity and local solvability of pseudolocal continuous linear operators in Gevrey classes [PDF]
In this paper we extend a well-known result concerning hypoellipticity and local solvability of linear partial differential operators on Schwartz distributions to the framework of pseudolocal continuous linear maps T acting on Gevrey classes.
MORANDO, Alessandro, Alessandro Morando
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Comment on “On the Carleman Classes of Vectors of a Scalar Type Spectral Operator”
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 ...
Marat V. Markin
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