On the nonextendability of germs of holomorphic functions

DOI10.1007/BF02922096zbMath1131.32003OpenAlexW2050658049MaRDI QIDQ2459950

Anna Siano

Publication date: 9 November 2007

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02922096

zbMATH Keywords

holomorphic functionpeak functionextension functionsupporting manifold

Mathematics Subject Classification ID

Algebras of holomorphic functions of several complex variables (32A38)

Cites Work

• About the holomorphic extension of CR functions on real hypersurfaces in complex space
• 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 \({\mathbb{C}}^ n)\)
• Peak points on weakly pseudoconvex domains
• Quelques conditions pour l'existence de fonctions pics dans des domaines pseudoconvexes
• \(\mathcal C^\infty\) peak functions for pseudoconvex domains of strict type
• A construction of peak functions on weakly pseudoconvex domains
• Convexifiability and supporting functions in \(\mathbb{C}^ 2\)
• A pseudo-convex domain not admitting a holomorphic support function
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