Topological Properties of the Space of Holomorphic Mappings
Author : Richard M. Aron
Publisher :
Page : 168 pages
File Size : 34,5 MB
Release : 1971
Category :
ISBN :
Author : Richard M. Aron
Publisher :
Page : 168 pages
File Size : 34,5 MB
Release : 1971
Category :
ISBN :
Author : Leopoldo Nachbin
Publisher :
Page : 84 pages
File Size : 31,80 MB
Release : 1969
Category : Analytic functions
ISBN :
Author : J.A. Barroso
Publisher : Elsevier
Page : 321 pages
File Size : 23,97 MB
Release : 2000-04-01
Category : Mathematics
ISBN : 0080872174
This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications.The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.
Author : W. M. Fleischman
Publisher : Springer
Page : 125 pages
File Size : 40,39 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540364196
Author : Franc Forstnerič
Publisher : Springer Science & Business Media
Page : 501 pages
File Size : 48,33 MB
Release : 2011-08-27
Category : Mathematics
ISBN : 3642222501
The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.
Author : Mark Elin
Publisher : Springer
Page : 229 pages
File Size : 12,54 MB
Release : 2019-03-11
Category : Mathematics
ISBN : 3030050203
This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems.
Author : Shoshichi Kobayashi
Publisher : Springer Science & Business Media
Page : 480 pages
File Size : 19,38 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 3662035820
In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Carathéodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area.
Author : Sergey Pinchuk
Publisher : Springer Nature
Page : 217 pages
File Size : 45,29 MB
Release : 2023-10-16
Category : Mathematics
ISBN : 3031371496
This monograph explores the problem of boundary regularity and analytic continuation of holomorphic mappings between domains in complex Euclidean spaces. Many important methods and techniques in several complex variables have been developed in connection with these questions, and the goal of this book is to introduce the reader to some of these approaches and to demonstrate how they can be used in the context of boundary properties of holomorphic maps. The authors present substantial results concerning holomorphic mappings in several complex variables with improved and often simplified proofs. Emphasis is placed on geometric methods, including the Kobayashi metric, the Scaling method, Segre varieties, and the Reflection principle. Geometry of Holomorphic Mappings will provide a valuable resource for PhD students in complex analysis and complex geometry; it will also be of interest to researchers in these areas as a reference.
Author : Mário C. Matos
Publisher :
Page : 5 pages
File Size : 13,64 MB
Release : 1972
Category :
ISBN :
Author : R.C. Gunning
Publisher : Routledge
Page : 218 pages
File Size : 36,48 MB
Release : 2018-05-02
Category : Mathematics
ISBN : 1351436910
Introduction to Holomorphlc Functions of SeveralVariables, Volumes 1-111 provide an extensiveintroduction to the Oka-Cartan theory of holomorphicfunctions of several variables and holomorphicvarieties. Each volume covers a different aspect andcan be read independently.