A Class of FBI Transforms

DOI10.1080/03605302.2011.593016zbMath1238.32002OpenAlexW2161656294MaRDI QIDQ5389569

J. Hounie, Shiferaw Berhanu

Publication date: 21 April 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2011.593016

zbMATH Keywords

FBI transformmicrolocal analyticitymicrolocal smoothness

Mathematics Subject Classification ID

Related Items (12)

A new microlocal analysis of hyperfunctions ⋮ Microglobal regularity and the global wavefront set ⋮ The FBI transforms and their use in microlocal analysis ⋮ Characterization of Gevrey Regularity by a Class of FBI Transforms ⋮ Unnamed Item ⋮ Geometric microlocal analysis in Denjoy-Carleman classes ⋮ Unnamed Item ⋮ FBI transform characterization of ultradifferentiablity on maximally real submanifolds ⋮ Global L^q Gevrey functions, Paley-Weiner theorems, and the FBI transform ⋮ A generalization of a microlocal version of Bochner’s theorem ⋮ Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis ⋮ On the microlocal regularity of the analytic vectors for ``sums of squares of vector fields

Cites Work

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• Semirigid partial differential operators and microlocal analytic hypoellipticity
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• On analytic microlocal hypoellipticity of linear partial differential operators of principal type
• Extension and approximation of CR functions on tube manifolds
• Edge of the Wedge Theory in Hypo-analytic Manifolds
• The FBI transform on compact 𝒞^{∞} manifolds

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