A new class of FBI transforms and applications

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Hypoelliptic equations (35H10)

Cites Work

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Iterates and hypoellipticity of partial differential operators on non-quasianalytic classes
Analytic vectors
Gevrey regularity of Gevrey vectors of second-order partial differential operators with non-negative characteristic form
The FBI transforms and their use in microlocal analysis
A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions
Wave front sets with respect to the iterates of an operator with constant coefficients
Ultradifferentiable functions and Fourier analysis
Whitney's extension theorem for ultradifferentiable functions of Beurling type
On local Gevrey regularity for Gevrey vectors of subelliptic sums of squares: an elementary proof of a sharp Gevrey Kotake-Narasimhan theorem
A characterization of the wave front set defined by the iterates of an operator with constant coefficients
A comparison of two different ways to define classes of ultradifferentiable functions
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
Regularite gevrey et iteres pour une classe d'operateurs hypoelliptiques
Analytic Vectors of Hypoelliptic Operators of Principal Type
Intermediate optimal gevrey exponents occur
Pseudodifferential operators on non-quasianalytic classes of Beurling type
A Multivariate Faa di Bruno Formula with Applications
A generalization of a microlocal version of Bochner’s theorem
On Gevrey vectors of L. Hörmander’s operators
A Class of FBI Transforms
The Growth of Hypoelliptic Polynomials and Gevrey Classes

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