Several Complex Variables V
Title | Several Complex Variables V PDF eBook |
Author | G.M. Khenkin |
Publisher | Springer Science & Business Media |
Pages | 292 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3642580114 |
This volume of the Encyclopaedia contains three contributions in the field of complex analysis; on mean periodicity and convolutionequations, Yang-Mills fields and the Radon-Penrose transform, and stringtheory. It is immensely useful to graduate students and researchers in complex analysis, differential geometry, quantum field theory, string theory and general relativity.
Several Complex Variables
Title | Several Complex Variables PDF eBook |
Author | Vitushkin, Anatolii Georgievich Vitushkin |
Publisher | |
Pages | 286 |
Release | 1990 |
Genre | Functions of several complex variables |
ISBN | 9783540544517 |
Several Complex Variables V
Title | Several Complex Variables V PDF eBook |
Author | G. M. Khenkin |
Publisher | |
Pages | 300 |
Release | 1993-12-06 |
Genre | |
ISBN | 9783642580123 |
Methods of the Theory of Functions of Many Complex Variables
Title | Methods of the Theory of Functions of Many Complex Variables PDF eBook |
Author | Vasiliy Sergeyevich Vladimirov |
Publisher | Courier Corporation |
Pages | 370 |
Release | 2007-01-01 |
Genre | Mathematics |
ISBN | 0486458121 |
This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables.
Functions of Several Complex Variables and Their Singularities
Title | Functions of Several Complex Variables and Their Singularities PDF eBook |
Author | Wolfgang Ebeling |
Publisher | American Mathematical Soc. |
Pages | 334 |
Release | 2007 |
Genre | Mathematics |
ISBN | 0821833197 |
The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.
Elementary Theory of Analytic Functions of One or Several Complex Variables
Title | Elementary Theory of Analytic Functions of One or Several Complex Variables PDF eBook |
Author | Henri Cartan |
Publisher | Courier Corporation |
Pages | 242 |
Release | 2013-04-22 |
Genre | Mathematics |
ISBN | 0486318672 |
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Introduction to Complex Analysis in Several Variables
Title | Introduction to Complex Analysis in Several Variables PDF eBook |
Author | Volker Scheidemann |
Publisher | Springer Nature |
Pages | 239 |
Release | 2023 |
Genre | Functions of complex variables |
ISBN | 3031264282 |
This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text. This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.