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Beskrivning
This text opens with an exposition of the achievements of Pierre Lelong on plurisubharmonic functions, closed positive currents, and their further study by other mathematicians.
Presence de l'oeuvre de P. Lelong dans les grands themes de recherche d'aujourd'hui, H. Skoda; bibliographic de P. Lelong; Wiener's type sufficient conditions in CN, J. Siciak; on the Ohsawa-Takegoshi-Manivel L2 extension theorem; J.P. Demailly; a geometrical application of the product of two positive currents, G. Bassanelli; hypoellipticity - geometrization and speculation, M. Christ; moment problems for weighted Nergamn kernels, K. Diederich, T. Ohsawa; on the Begman metric near a plurisubharmonic barrier point, G. Herbort; on the vanishing order of a holomorphic germ along a complex analytic gem in Cn, U. Hiller; stationary curves and complete integrability in the complex domain, S. Webster; the Malgrange vanishing theorem with support conditions, C. Laurent-Thiebaut, J. Leterer; measures orthogonales a support compact de longueur finie et applications, T.C. Dinh; convexity and Hartogs' theorem in some open subset of a projective manifold, P. Dingoyan; pointwise support functions for convex domains of finite type, K. Diederich, J. McNeal; un example d'obstruction geometrique a l'extension des fonctions holomorphes bornees, E. Mazzilli; potential theory on complex dynamics - regular polynomial mappings of Ck, E. Bedford, M. Jonsson; boundaries of Levi-flat hypersurfaces of C2, G. Tomassini; une demonstration directe de la densite des cycles repulsifs dan l'ensemble de Julia, F. Berteloot, J. Duval; embeddings for 3-dimensional CR-manifolds, C. Epstein, G. Henkin. List of problems.
