The relative Hartogs- Bochner phenomenon in a 2-concave real hypersurface in a complex analytic manifold

DOI10.1007/BF02571671zbMath0790.32014OpenAlexW2029017593MaRDI QIDQ1319303

Christine Laurent-Thiébaut

Publication date: 25 May 1994

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

Full work available at URL: https://eudml.org/doc/174500

zbMATH Keywords

\(q\)-convexitycomplex manifoldextension of CR functionstangential Cauchy-Riemann equations\(q\)-concave real hypersurface

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) (q)-convexity, (q)-concavity (32F10)

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Resolution of \(\overline{\partial}\) for continuable currents defined in a circular domain.

Cites Work

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• An extension theorem for the CR-functions
• On strict Levi q-convexity and q-concavity on domains with piecewise smooth boundaries
• Sur l'extension des fonctions CR dans une variété de Stein. (On the extension of CR functions in Stein manifolds)
• On the Hartogs-Bochner extension phenomenon for differential forms
• Localization principle for differential complexes and its application
• Some Global Results on Extension of CR-Objects in Complex Manifolds
• Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR-functions
• INTEGRAL REPRESENTATIONS OF DIFFERENTIAL FORMS ON CAUCHY-RIEMANN MANIFOLDS AND THE THEORY OF CR-FUNCTIONS. II