On the extension of holomorphic functions across a real hypersurface

DOI10.1007/BF02571420zbMath0759.32011MaRDI QIDQ1204284

Jean-Marie Trepreau

Publication date: 3 March 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174433

zbMATH Keywords

extension of holomorphic functionsreal hypersurface in \(\mathbb{C}^ n\)

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Real submanifolds in complex manifolds (32V40)

Related Items (2)

Normal and tangent ranks of CR mappings ⋮ Principe de Hartogs dans les variétés CR. (The Hartogs principle for CR manifolds)

Cites Work

• Unnamed Item
• Propagation of analyticity for a class of non-micro-characteristic operators
• 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 \({\mathbb{C}}^ n)\)
• Pseudoconvex domains with real-analytic boundary
• A pseudo-convex domain not admitting a holomorphic support function
• Sur la propagation des singularités dans les variétés CR
• Peak Points, Barriers and Pseudoconvex Boundary Points
• Orbits of Families of Vector Fields and Integrability of Distributions

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