Results 11 to 20 of about 429 (166)

Inhomogeneous Gevrey classes and ultradistributions [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2004
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
openaire   +4 more sources

Gelfand–Shilov Spaces for Extended Gevrey Regularity [PDF]

open access: yesAxioms
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
doaj   +2 more sources

FBI transform in Gevrey classes and Anosov flows [PDF]

open access: yesAstérisque, 2020
v2: Main result improved with respect to v1.
Bonthonneau, Yannick Guedes   +1 more
openaire   +3 more sources

The Zahorski theorem is valid in Gevrey classes [PDF]

open access: yesFundamenta Mathematicae, 1996
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
openaire   +4 more sources

Persistence time of solutions of the three-dimensional Navier-Stokes equations in Sobolev-Gevrey classes [PDF]

open access: yes, 2021
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
core   +1 more source

Symbols of Pseudodifferential Operators Associated to Gevrey Kernel's Type [PDF]

open access: yes, 2003
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
core   +1 more source

Resurgence of a de Sitter Glauber‐Sudarshan State: Nodal Diagrams and Borel Resummation

open access: yesFortschritte der Physik, Volume 71, Issue 12, December 2023., 2023
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]

open access: yes, 2016
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
core   +1 more source

Hypoellipticity and local solvability of pseudolocal continuous linear operators in Gevrey classes [PDF]

open access: yes, 2004
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
core   +2 more sources

Comment on “On the Carleman Classes of Vectors of a Scalar Type Spectral Operator”

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 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 ...
Marat V. Markin
doaj   +1 more source

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