Continuation of positive, closed currents and analytic sets

DOI10.1007/BF02572398zbMath0790.32012MaRDI QIDQ1320992

Manfred Rapp

Publication date: 20 June 1994

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

Full work available at URL: https://eudml.org/doc/174562

zbMATH Keywords

analytic setscurrentsanalytic continuation

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Continuation of analytic objects in several complex variables (32D15) (q)-convexity, (q)-concavity (32F10) Plurisubharmonic functions and generalizations (32U05) Integration on analytic sets and spaces, currents (32C30)

Related Items (1)

Extension of a positive current across a non-Levi-flat submanifold

Cites Work

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• Sur le prolongement des courants positifs fermés
• Quelques problèmes de prolongement de courants en analyse complexe
• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• Zero sets of non-negative strictly plurisubharmonic functions
• $C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions
• Intégration sur un ensemble analytique complexe
• Approximation theorems, 𝐶^{∞} convex exhaustions and manifolds of positive curvature

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