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Analyse Complexe Et Géométrie

Analyse Complexe Et Géométrie PDF Author: Pierre Dolbeault
Publisher: Springer Science & Business Media
ISBN: 9783764363529
Category : Mathematics
Languages : en
Pages : 266

Book Description
Présence de l'oeuvre de P. Lelong dans les grands thèmes de recherche d'aujourd'hui.- Bibliographic de P. Lelong.- Wiener's type sufficient conditions in ?N.- On the Ohsawa-Takegoshi-Manivel L2 extension theorem.- A geometrical application of the product of two positive currents.- Hypoellipticity: geometrization and speculation.- Moment problems for weighted Bergman kernels.- On the Bergman metric near a plurisubharmonic barrier point.- On the vanishing order of a holomorphic germ along a complex analytic germ in ?n.- Stationary curves and complete integrability in the complex domain.- The Malgrange vanishing theorem with support conditions.- Mesures orthogonales à support compact de longueur finie et applications.- Convexity and Hartogs' theorem in some open subset of a projective manifold.- Pointwise support functions for convex domains of finite type.- Un exemple d'obstruction géométrique à l'extension des fonctions holomorphes bornées.- Potential theory on complex dynamics: regular polynomial mappings of ?k.- Boundaries of Levi-flat hypersurfaces of ?2.- Une démonstration directe de la densité des cycles répulsifs dans l'ensemble de Julia.- Embeddings for 3-dimensional CR-manifolds.- List of Problems.