Characterization of Gevrey Regularity by a Class of FBI Transforms

DOI10.1007/978-3-319-55556-0_2zbMath1404.42017OpenAlexW2743518213MaRDI QIDQ4562648

Abraham Hailu, Shiferaw Berhanu

Publication date: 17 December 2018

Published in: Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-55556-0_2

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (6)

The FBI transforms and their use in microlocal analysis ⋮ Unnamed Item ⋮ Geometric microlocal analysis in Denjoy-Carleman classes ⋮ Unnamed Item ⋮ FBI transform characterization of ultradifferentiablity on maximally real submanifolds ⋮ On the microlocal regularity of the analytic vectors for ``sums of squares of vector fields

Cites Work

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• Gevrey micro-regularity for solutions to first order nonlinear PDE
• About the holomorphic extension of CR functions on real hypersurfaces in complex space
• Microlocal hypo-analyticity and extension of CR functions
• F.B.I. transformation. Second microlocalization and semilinear caustics
• Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems
• On analytic microlocal hypoellipticity of linear partial differential operators of principal type
• On the Analyticity of Solutions of First-Order Nonlinear PDE
• Intermediate optimal gevrey exponents occur
• Edge of the Wedge Theory in Hypo-analytic Manifolds
• The FBI transform on compact 𝒞^{∞} manifolds
• A Class of FBI Transforms

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