Normal forms for generic manifolds and holomorphic extension of CR functions

DOI10.4310/jdg/1214440982zbMath0629.32016OpenAlexW1804317082WikidataQ115184762 ScholiaQ115184762MaRDI QIDQ1093775

Linda Preiss Rothschild, Mohamed Salah Baouendi

Publication date: 1987

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214440982

zbMATH Keywords

boundary values of holomorphic functionsCR extensiondecomposition of CR distributionshypoanalytic wavefrontlocal holomorphic extendabilitynormal form for CR manifoldssemirigidity

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40)

Related Items (18)

Sur la propagation des singularités dans les variétés CR ⋮ Semirigid partial differential operators and microlocal analytic hypoellipticity ⋮ Mappings of three-dimensional CR manifolds and their holomorphic extension ⋮ Algebraicity of holomorphic mappings between real algebraic sets in \(\mathbb{C}^ n\) ⋮ Transversal Lie group actions on abstract CR manifolds ⋮ Proper holomorphic mappings between real analytic domains in \(\mathbf \mathbb{C}^ n\) ⋮ CR extension from hypersurfaces of higher type ⋮ Unnamed Item ⋮ Cauchy-Riemann functions on manifolds of higher codimension in complex space ⋮ A Class of FBI Transforms ⋮ Mappings of quadric Cauchy-Riemann manifolds ⋮ Holomorphic Extension and Decomposition from a Totally Real Manifold ⋮ Propagation of CR extendibility at the vertex of a complex sector ⋮ On Certain Partial Differential Operators of Finite Odd Type ⋮ Biholomorphic mappings between bounded domains in \(C^ n\) ⋮ A generalization of a microlocal version of Bochner’s theorem ⋮ The Holomorphic Extension of CR Functions Near a Point of Higher Type ⋮ Uniqueness for locally integrable solutions of overdetermined systems

This page was built for publication: Normal forms for generic manifolds and holomorphic extension of CR functions