Complex Analysis and Geometry
International Conference in Honor of Pierre Lelong
1st Edition
Published in May 2000
Book
Hardback
XIV, 241 pages
978-3-7643-6352-9 (ISBN)
Description
This collection of 18 research papers, dedicated to Pierre Lelong, describes the state of the art on representative problems of complex analysis and geometry. The book opens with an exposition of the achievements of Pierre Lelong on plurisubharmonic functions, closed positive currents, and their further study by other mathematicians. Moreover, a list of eleven open problems is given. All other contributions contain new results related, for example, to the following items: - Capacities, product of positive currents, L2 extension theorems, Bergman kernels and metrics, new properties of convex domains of finite type - Non-compact boundaries of Levi-flat hypersurfaces of C2, compact boundary problems as application of compactly supported measures orthogonal to polynomials, Hartogs' theorem on some open subsets of a projective manifold, Malgrange vanishing theorem with support conditions - Embeddings for 3-dimensional CR-manifolds, geometrization of hypoellipticity, stationary complex curves and complete integrability - Regular polynomial mappings of Ck in complex dynamics, a direct proof of the density of repulsive cycles in the Julia set. The book is aimed at researchers and advanced graduate students in complex and real analysis, algebraic geometry and number theory.
More details
Series
Edition
1., 2000
Language
English
Place of publication
Basel
Switzerland
Target group
College/higher education
Professional and scholarly
Research
Illustrations
XIV, 241 p., 1 s/w Abbildung
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
600 gr
ISBN-13
978-3-7643-6352-9 (9783764363529)
DOI
10.1007/978-3-0348-8436-5
Schweitzer Classification
Other editions
Additional editions
Pierre Dolbeault | A. Iordan | G. Henkin
Complex Analysis and Geometry
International Conference in Honor of Pierre Lelong
Book
10/2012
Birkhäuser
€53.49
Shipment within 10-15 days
Content
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.