Sur l'extension des fonctions CR dans une variété de Stein. (On the extension of CR functions in Stein manifolds)

DOI10.1007/BF01761467zbMath0646.32010OpenAlexW1980312638MaRDI QIDQ1103755

Christine Laurent-Thiébaut

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01761467

zbMATH Keywords

Stein manifoldextension of CR functionsHenkin-Leiterer integral formulas

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Stein spaces (32E10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (9)

Cohomology and extension problems for semi \(q\)-coronae ⋮ Analytic extension from non-pseudoconvex boundaries and \(A(D)\)-convexity. ⋮ Totally real discs in non-pseudoconvex boundaries ⋮ Cohomology of semi 1-coronae and extension of analytic subsets ⋮ Stein compacts in Levi-flat hypersurfaces ⋮ Some Global Results on Extension of CR-Objects in Complex Manifolds ⋮ Analyticity of functions analytic on circles ⋮ A new class of polynomially convex sets ⋮ The relative Hartogs- Bochner phenomenon in a 2-concave real hypersurface in a complex analytic manifold

Cites Work

• An extension theorem for the CR-functions
• A theorem on holomorphic extension of CR-functions
• Holomorphic continuation in several complex variables
• On boundaries of complex analytic varieties. I
• Global integral formulas for solving the $\bar ∂$-equation on Stein manifolds
• ANALYTIC REPRESENTATION OF $ CR$-FUNCTIONS
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