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Several Complex Variables V


Several Complex Variables V
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Several Complex Variables V


Several Complex Variables V
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Author : G.M. Khenkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Several Complex Variables V written by G.M. Khenkin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


In this part, we present a survey of mean-periodicity phenomena which arise in connection with classical questions in complex analysis, partial differential equations, and more generally, convolution equations. A common feature of the problem we shall consider is the fact that their solutions depend on tech niques and ideas from complex analysis. One finds in this way a remarkable and fruitful interplay between mean-periodicity and complex analysis. This is exactly what this part will try to explore. It is probably appropriate to stress the classical flavor of all of our treat ment. Even though we shall frequently refer to recent results and the latest theories (such as algebmic analysis, or the theory of Bernstein-Sato polyno mials), it is important to observe that the roots of probably all the problems we discuss here are classical in spirit, since that is the approach we use. For instance, most of Chap. 2 is devoted to far-reaching generalizations of a result dating back to Euler, and it is soon discovered that the key tool for such gen eralizations was first introduced by Jacobi! As the reader will soon discover, similar arguments can be made for each of the subsequent chapters. Before we give a complete description of our work on a chapter-by-chapter basis, let us make a remark about the list of references. It is quite hard (maybe even impossible) to provide a complete list of references on such a vast topic.



Several Complex Variables Vii


Several Complex Variables Vii
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Author : H. Grauert
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Several Complex Variables Vii written by H. Grauert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


Of making many books there is no end; and much study is a weariness of the flesh. Eccl. 12.12. 1. In the beginning Riemann created the surfaces. The periods of integrals of abelian differentials on a compact surface of genus 9 immediately attach a g dimensional complex torus to X. If 9 ~ 2, the moduli space of X depends on 3g - 3 complex parameters. Thus problems in one complex variable lead, from the very beginning, to studies in several complex variables. Complex tori and moduli spaces are complex manifolds, i.e. Hausdorff spaces with local complex coordinates Z 1, ... , Zn; holomorphic functions are, locally, those functions which are holomorphic in these coordinates. th In the second half of the 19 century, classical algebraic geometry was born in Italy. The objects are sets of common zeros of polynomials. Such sets are of finite dimension, but may have singularities forming a closed subset of lower dimension; outside of the singular locus these zero sets are complex manifolds.



Several Complex Variables


Several Complex Variables
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Author : Vitushkin, Anatolii Georgievich Vitushkin
language : en
Publisher:
Release Date : 1990

Several Complex Variables written by Vitushkin, Anatolii Georgievich Vitushkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Functions of several complex variables categories.




Several Complex Variables Part 1


Several Complex Variables Part 1
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Author : Raymond O'Neil Wells
language : en
Publisher: American Mathematical Soc.
Release Date : 1977

Several Complex Variables Part 1 written by Raymond O'Neil Wells and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.


Contains sections on Singularities of analytic spaces, Function theory and real analysis, Compact complex manifolds, and Survey papers.



Several Complex Variables And Complex Manifolds


Several Complex Variables And Complex Manifolds
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Author : Mike Field
language : en
Publisher: Cambridge University Press
Release Date : 1982

Several Complex Variables And Complex Manifolds written by Mike Field and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Complex manifolds categories.


Annotation This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject.



Several Complex Variables Iv


Several Complex Variables Iv
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Author : Semen G. Gindikin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Several Complex Variables Iv written by Semen G. Gindikin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.



Several Complex Variables


Several Complex Variables
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Author : KOHN
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Several Complex Variables written by KOHN and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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.



Fourier Analysis In Several Complex Variables


Fourier Analysis In Several Complex Variables
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Author : Leon Ehrenpreis
language : en
Publisher: Courier Corporation
Release Date : 2011-11-30

Fourier Analysis In Several Complex Variables written by Leon Ehrenpreis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.


Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. 1970 edition.



Several Complex Variables And Complex Geometry Part I


Several Complex Variables And Complex Geometry Part I
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Author : Eric Bedford
language : en
Publisher: American Mathematical Soc.
Release Date : 1991

Several Complex Variables And Complex Geometry Part I written by Eric Bedford and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.




Several Complex Variables And Complex Geometry Part Ii


Several Complex Variables And Complex Geometry Part Ii
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Author : Eric Bedford
language : en
Publisher: American Mathematical Soc.
Release Date : 1991

Several Complex Variables And Complex Geometry Part Ii written by Eric Bedford and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.