Analytic extension from non-pseudoconvex boundaries and \(A(D)\)-convexity.

DOI10.5802/aif.1962zbMath1035.32020OpenAlexW338206422MaRDI QIDQ1395362

Christine Laurent-Thiébaut, Egmont Porten

Publication date: 26 June 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_3_847_0

zbMATH Keywords

holomorphic convexityremovable singularitiesanalytic extensionCR functionsholomorphic hullsCR-convex

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Envelopes of holomorphy (32D10) Removable singularities in several complex variables (32D20) Extension of functions and other analytic objects from CR manifolds (32V25)

Related Items (5)

Cohomology and extension problems for semi \(q\)-coronae ⋮ Cohomology of semi 1-coronae and extension of analytic subsets ⋮ On thickening of holomorphic hulls and envelopes of holomorphy on Stein spaces ⋮ Stein compacts in Levi-flat hypersurfaces ⋮ Cohomology and removable subsets

Cites Work

• Unnamed Item
• Unnamed Item
• Sur le prolongement holomorphe des fonctions CR définies sur une hypersurface réelle de classe \(C^ 2\) dans \({\mathbb{C}}^ n\). (Holomorphic continuation of CR-functions defined on a real hypersurface of class \(C^ 2\) in \({\mathbb{C}}^ n)\)
• On Gleason's decomposition for \(A^{\infty}(\bar D)\)
• A theorem on holomorphic extension of CR-functions
• Sur l'extension des fonctions CR dans une variété de Stein. (On the extension of CR functions in Stein manifolds)
• Deformation of CR-manifolds, minimal points and CR-manifolds with the microlocal analytic extension property
• Some remarks concerning holomorphically convex hulls and envelopes of holomorphy
• Characterization of removable sets in strongly pseudoconvex boundaries
• Morse Theory. (AM-51)
• Analytic continuation and boundary continuity of functions of several complex variables
• Sur la propagation des singularités dans les variétés CR
• CONVEX DOMAINS WITH NONCOMPACT AUTOMORPHISM GROUPS
• Orbits of Families of Vector Fields and Integrability of Distributions

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