FBI transform characterization of ultradifferentiablity on maximally real submanifolds

zbMath1457.42020MaRDI QIDQ2226541

Abdi Tadesse, Jemal Yesuf

Publication date: 8 February 2021

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1592532027

zbMATH Keywords

FBI transformultradifferentiable functionmaximally real submanifold

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Real submanifolds in complex manifolds (32V40) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Cites Work

• Denjoy-Carleman classes: boundary values, approximate solutions and applications
• Approximate solutions and micro-regularity in the Denjoy-Carleman classes
• On microlocal analyticity of solutions of first-order nonlinear PDE
• Gevrey micro-regularity for solutions to first order nonlinear PDE
• Almost analytic extension of ultradifferentiable functions and the boundary values of holomorphic functions
• About the holomorphic extension of CR functions on real hypersurfaces in complex space
• Microlocal hypo-analyticity and extension of CR functions
• Theory of pseudo-differential operators of ultradifferentiable class
• The FBI transforms and their use in microlocal analysis
• On the Analyticity of Solutions of First-Order Nonlinear PDE
• Hyperfunctions on Hypo-Analytic Manifolds (AM-136)
• Intermediate optimal gevrey exponents occur
• Characterization of Gevrey Regularity by a Class of FBI Transforms
• A Multivariate Faa di Bruno Formula with Applications
• A Class of FBI Transforms
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