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Several Complex Variables in China by Chung-Chun Yang,Sheng Gong Pdf
Today, there is increasing interest in complex geometry, geometric function theory, and integral representation theory of several complex variables. The present collection of survey and research articles comprises a current overview of research in several complex variables in China. Among the topics covered are singular integrals, function spaces, differential operators, and factorization of meromorphic functions in several complex variables via analytic or geometric methods. Some results are reported in English for the first time.
Several Complex Variables by KOHN,LU,REMMERT,SIU Pdf
In recent years there has been increasing interaction among various branches of mathematics. This is especially evident in the theory of several complex variables where fruitful interplays of the methods of algebraic geometry, differential geometry, and partial differential equations have led to unexpected insights and new directions of research. In China there has been a long tradition of study in complex analysis, differential geometry and differential equations as interrelated subjects due to the influence of Professors S. S. Chern and L. K. Hua. After a long period of isolation, in recent years there is a resurgence of scientific activity and a resumption of scientific exchange with other countries. The Hangzhou conference is the first international conference in several complex variables held in China. It offered a good opportunity for mathematicians from China, U.S., Germany, Japan, Canada, and France to meet and to discuss their work. The papers presented in the conference encompass all major aspects of several complex variables, in particular, in such areas as complex differential geometry, integral representation, boundary behavior of holomorphic functions, invariant metrics, holomorphic vector bundles, and pseudoconvexity. Most of the participants wrote up their talks for these proceedings. Some of the papers are surveys and the others present original results. This volume constitutes an overview of the current trends of research in several complex variables.
Recent Progress on Some Problems in Several Complex Variables and Partial Differential Equations by Shiferaw Berhanu Pdf
The papers in this volume cover many important topics of current interest in partial differential equations and several complex variables. An international group of well-known mathematicians has contributed original research articles on diverse topics such as the geometry of complex manifolds, the mean curvature equation, formal solutions of singular partial differential equations, and complex vector fields. The material in this volume is useful for graduate students and researchers interested in partial differential equations and several complex variables.
Geometric Function Theory in Several Complex Variables by Carl H. FitzGerald,Sheng Gong Pdf
The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.
Complex Analysis and Its Applications by C.C. Yang,Guo-Chun Wen,K Y Li,Y M Chiang Pdf
This volume presents a collection of contributions to an international conference on complex analysis and its applications held at the newly founded Hong Kong University of Science and Technology in January 1993. The aim of the conference was to advance the theoretical aspects of complex analysis and to explore the application of its techniques to physical and engineering problems. Three main areas were emphasised: Value distribution theory; Complex dynamical system and geometric function theory; and the Application of complex analysis to differential quations and physical engineering problems.
Geometric Function Theory in Several Complex Variables by Carl H FitzGerald,Sheng Gong Pdf
The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods. Contents:Subriemannian Geometry and Subelliptic Partial Differential Equations (D-C Chang et al.)Proper Holomorphic Mappings between Some Generalized Hartogs Triangles (Z Chen)Invariant Mappings in Geometric Function Theory (C H FitzGerald)The Distortion Theorems for Convex Mappings in Several Complex Variables (S Gong)Basic Properties of Loewner Chains in Several Complex Variables (I Graham et al.)A New Inequality and Its Applications (H Ke)Intermediate Value Theorem for Functions of Classes of Riemann Surfaces (M Masumoto)A Hadamard Theorem on Algebraic Curves (S-K Wang & H-P Zhang)Hodge-Laplace Operator on Complex Finsler Manifolds (C Zhong & T Zhong)and other papers Readership: Graduate students, researchers and academics in mathematics. Keywords:Geometric Function Theory;Several Complex Variables;Function Theory;Holomorlphic Mappings;Subriemannian Geometry;Riemann Manifolds;Finsler Manifolds;Loewner ChainsKey Features:Written to be understood and to be used by a wide audienceContains survey papers on important areas of research mathematicsWritten by mathematicians of international stature
Early one morning in April of 1987, the Chinese mathematician J. -Q. Zhong died unexpectedly of a heart attack in New York. He was then near the end of a one-year visit in the United States. When news of his death reached his Chinese-American friends, it was immediately decided by one and all that something should be done to preserve his memory. The present volume is an outgrowth of this sentiment. His friends in China have also established a Zhong Jia-Qing Memorial Fund, which has since twice awarded the Zhong Jia-Qing prizes for Chinese mathematics graduate students. It is hoped that at least part of the reasons for the esteem and affection in which he was held by all who knew him would come through in the succeeding pages of this volume. The three survey chapters by Li and Treibergs, Lu, and Siu (Chapters 1-3) all center around the areas of mathematics in which Zhong made noteworthy contributions. In addition to putting Zhong's mathematical contributions in perspective, these articles should be useful also to a large segment of the mathematical community; together they give a coherent picture of a sizable portion of contemporary geometry. The survey of Lu differs from the other two in that it gives a firsthand account of the work done in the People's Republic of China in several complex variables in the last four decades.
Several Complex Variables by Joseph John Kohn,Qikeng Lu,Reinhold Remmert,Yum-Tong Siu Pdf
"These papers, originally presented at the first international conference in several complex variables held in China, cover complex differential geometry, integral representation, boundary behavior of holomorphic functions, invariant metrics, holomorphic vector bundles, and pseudoconvexity."--Publisher.
Fifth International Congress of Chinese Mathematicians by Lizhen Ji Pdf
This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.
Today, China is in a critical period of development facing a series of challenges such as optimizing the economic structure, rationalizing the use of resources, protecting the ecological environment, eradicating poverty, and fostering coordinated development of the whole society. These challenges can not be comprehensively address without the integrated development of science and technology.This book takes an active part in international cooperation for promoting the development of science and technology and the progress of human civilization. In Science Progress in China Chinese scientists have outlined the development and accomplishments across a spectrum of science over the past 50 years. Scientific acheivements discussed include: the first synthesis of crystalline bovine insulin, the publication of the diagram of rice genes and much more. * Promotes the development of science and education, with emphasis placed on cultivating and nurting scientific talents* Discusses Chinese mathematics, engineering achievements, and the science and technology strategies and policies * Povides insights in the progress of crop genetics and breeding* Offers an analysis of the development of the population and the effects of reproductive medicine
Convex and Starlike Mappings in Several Complex Variables by Sheng Gong Pdf
This book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underlying theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. This is the first book which systematically studies this topic. It gathers together, and presents in a unified manner, the current state of affairs for convex and starlike biholomorphic mappings in several complex variables. The majority of the results presented are due to the author, his co-workers and his students. Audience: This volume will be of interest to research mathematicians whose work involves several complex variables and one complex variable.
Real and Complex Clifford Analysis by Sha Huang,Yu Ying Qiao,Guo Chun Wen Pdf
Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications. In this book, the authors introduce many properties of regular functions and generalized regular functions in real Clifford analysis, as well as harmonic functions in complex Clifford analysis. It covers important developments in handling the incommutativity of multiplication in Clifford algebra, the definitions and computations of high-order singular integrals, boundary value problems, and so on. In addition, the book considers harmonic analysis and boundary value problems in four kinds of characteristic fields proposed by Luogeng Hua for complex analysis of several variables. The great majority of the contents originate in the authors’ investigations, and this new monograph will be interesting for researchers studying the theory of functions.
Geometric Analysis of PDE and Several Complex Variables by Francois Treves Pdf
This volume is dedicated to Francois Treves, who made substantial contributions to the geometric side of the theory of partial differential equations (PDEs) and several complex variables. One of his best-known contributions, reflected in many of the articles here, is the study of hypo-analytic structures. An international group of well-known mathematicians contributed to the volume. Articles generally reflect the interaction of geometry and analysis that is typical of Treves's work, such as the study of the special types of partial differential equations that arise in conjunction with CR-manifolds, symplectic geometry, or special families of vector fields. There are many topics in analysis and PDEs covered here, unified by their connections to geometry. The material is suitable for graduate students and research mathematicians interested in geometric analysis of PDEs and several complex variables.
Complex Analysis and Dynamical Systems by Mark Agranovsky,Anatoly Golberg,Fiana Jacobzon,David Shoikhet,Lawrence Zalcman Pdf
This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences. Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.