Proceedings of the Conference on Complex Analysis

ISBN-13: 9783642480188 / Angielski / Miękka / 2012 / 308 str.

A. Aeppli; E. Calabi; H. Rohrl

Opis

This volume contains the articles contributed to the Minnesota Con- ference on Complex Analysis (COCA). The Conference was held March 16-21, 1964, at the University of Minnesota, under the sponsorship of the U. S. Air Force Office of Scientific Research with thirty-one invited participants attending. Of these, nineteen presented their papers in person in the form of one-hour lectures. In addition, this volume con- tains papers contributed by other attending participants as well as by participants who, after having planned to attend, were unable to do so. The list of particip ants, as well as the contributions to these Proceed- ings, clearly do not represent a complete coverage of the activities in all fields of complex analysis. It is hoped, however, that these limitations stemming from the partly deliberate selections will allow a fairly com- prehensive account of the current research in some of those areas of complex analysis that, in the editors' belief, have rapidly developed during the past decade and may remain as active in the foreseeable future as they are at the present time. In conclusion, the editors wish to thank, first of all, the participants and contributors to these Proceedings for their enthusiastic cooperation and encouragement. Our thanks are due also to the University of Min- nesota, for offering the physical facilities for the Conference, and to Springer-Verlag for publishing these proceedings.

Spis treści

On Factorization of Holomorphic Mappings.- Cauchy Integral Formulas and Boundary Kernel Functions in Several Complex Variables.- Extrinsic Complex Projective Geometry.- Some Properties of Pseudo-conformal Images of Circular Domains in the Theory of Two Complex Variables.- Holomorphic Imbeddings of Symmetric Domains into a Siegel Space.- On Determining Sets in a Stein Manifold.- On the Cohomology Structure of Stein Manifolds.- Normal Families of Non-negative Divisors.- Boundaries of Complex Manifolds.- Local Properties of Holomorphic Mappings.- Automorphic Forms and General Teichmüller Spaces.- The Extension Problem for Compact Submanifolds of Complex Manifolds I (the Case of a Trivial Normal Bundle).- New Proof for the Existence of Locally Complete Families of Complex Structures.- Algebraic Function Fields on Complex Analytic Spaces.- Riemann Surfaces with the Absolute AB-maximum Principle.- A Remark on Non-compact Quotients of Bounded Symmetric Domains.- Pseudo-convex Domains in Linear Topological Spaces.- Connections for a Class of Pseudogroup Structures.- A Fundamental Lemma on Point Modifications.- Transmission Problems for Holomorphic Fiber Bundles. With 2 Figures.- Attaching Analytic Spaces to an Analytic Space Along a Pseudoconcave Boundary.- Non-compact Complex Lie Groups without Non-constant Holomorphic Functions.- Uniform Algebras.- Construction of Kleinian Groups.- The Modular Function and Geometric Properties of Quasiconformal Mappings.- Polynomial Convexity: The Three Spheres Problem.- Appendix : Problems Submitted.