Global Gevrey vectors - MaRDI portal

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Singularity in context of PDEs (35A21) Wave front sets in context of PDEs (35A18)

Cites Work

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Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems
Heat kernels, smoothness estimates, and exponential decay
Iterates and hypoellipticity of partial differential operators on non-quasianalytic classes
Analytic vectors
The FBI transforms and their use in microlocal analysis
Wave front sets with respect to the iterates of an operator with constant coefficients
Local estimates for Hörmander's operators with Gevrey coefficients and application to the regularity of their Gevrey vectors
Ultradifferentiable functions and Fourier analysis
On local Gevrey regularity for Gevrey vectors of subelliptic sums of squares: an elementary proof of a sharp Gevrey Kotake-Narasimhan theorem
Global \(L^q\)-Gevrey functions and their applications
A characterization of the wave front set defined by the iterates of an operator with constant coefficients
Microglobal regularity and the global wavefront set
Lower order perturbation and global analytic vectors for a class of globally analytic hypoelliptic operators
A Paley–Wiener type theorem for generalized non-quasianalytic classes
On interior regularity of the solutions of partial differential equations
Regularity theorems for fractional powers of a linear elliptic operator
The Problem of Iterates in Some Classes of Ultradifferentiable Functions
Analyticite et iteres reduits d'un systeme de champs de vecteurs
Analyticité et itères d'un système de champs non elliptique
Analytic Vectors of Hypoelliptic Operators of Principal Type
Propriete des iteres et ellipticite
Intermediate optimal gevrey exponents occur
The global Kotake-Narasimhan theorem
On Gevrey vectors of L. Hörmander’s operators
Global L^q Gevrey functions, Paley-Weiner theorems, and the FBI transform
On Gevrey vectors of some partial differential operators
A characterization of real analytic functions
The Growth of Hypoelliptic Polynomials and Gevrey Classes

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