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Several Complex Variables

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Several Complex Variables

Several Complex Variables [Pdf/ePub] eBook Author: H. Grauert,K. Fritzsche
Editor: Springer Science & Business Media
ISBN-10: 1461298741
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Several Complex Variables by H. Grauert,K. Fritzsche Book Summary:

The present book grew out of introductory lectures on the theory offunctions of several variables. Its intent is to make the reader familiar, by the discussion of examples and special cases, with the most important branches and methods of this theory, among them, e.g., the problems of holomorphic continuation, the algebraic treatment of power series, sheaf and cohomology theory, and the real methods which stem from elliptic partial differential equations. In the first chapter we begin with the definition of holomorphic functions of several variables, their representation by the Cauchy integral, and their power series expansion on Reinhardt domains. It turns out that, in l:ontrast ~ 2 there exist domains G, G c en to the theory of a single variable, for n with G c G and G "# G such that each function holomorphic in G has a continuation on G. Domains G for which such a G does not exist are called domains of holomorphy. In Chapter 2 we give several characterizations of these domains of holomorphy (theorem of Cartan-Thullen, Levi's problem). We finally construct the holomorphic hull H(G} for each domain G, that is the largest (not necessarily schlicht) domain over en into which each function holomorphic on G can be continued.

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Several Complex Variables VII

Several Complex Variables VII [Pdf/ePub] eBook Author: H. Grauert,Thomas Peternell,R. Remmert
Editor: Springer Science & Business Media
ISBN-10: 3662098733
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Several Complex Variables VII by H. Grauert,Thomas Peternell,R. Remmert Book Summary:

The first survey of its kind, written by internationally known, outstanding experts who developed substantial parts of the field. The book contains an introduction written by Remmert, describing the history of the subject, and is very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry.

Download or read Several Complex Variables VII book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). The first survey of its kind, written by internationally known, outstanding experts who developed substantial parts of the field. The book contains an introduction written by Remmert, describing the history of the subject, and is very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry.


Several Complex Variables and the Geometry of Real Hypersurfaces

Several Complex Variables and the Geometry of Real Hypersurfaces [Pdf/ePub] eBook Author: John P. D'Angelo
Editor: Routledge
ISBN-10: 1351416723
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Several Complex Variables and the Geometry of Real Hypersurfaces by John P. D'Angelo Book Summary:

Several Complex Variables and the Geometry of Real Hypersurfaces covers a wide range of information from basic facts about holomorphic functions of several complex variables through deep results such as subelliptic estimates for the ?-Neumann problem on pseudoconvex domains with a real analytic boundary. The book focuses on describing the geometry of a real hypersurface in a complex vector space by understanding its relationship with ambient complex analytic varieties. You will learn how to decide whether a real hypersurface contains complex varieties, how closely such varieties can contact the hypersurface, and why it's important. The book concludes with two sets of problems: routine problems and difficult problems (many of which are unsolved). Principal prerequisites for using this book include a thorough understanding of advanced calculus and standard knowledge of complex analysis in one variable. Several Complex Variables and the Geometry of Real Hypersurfaces will be a useful text for advanced graduate students and professionals working in complex analysis.

Download or read Several Complex Variables and the Geometry of Real Hypersurfaces book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Several Complex Variables and the Geometry of Real Hypersurfaces covers a wide range of information from basic facts about holomorphic functions of several complex variables through deep results such as subelliptic estimates for the ?-Neumann problem on pseudoconvex domains with a real analytic boundary. The book focuses on describing the geometry of a real hypersurface in a complex vector space by understanding its relationship with ambient complex analytic varieties. You will learn how to decide whether a real hypersurface contains complex varieties, how closely such varieties can contact the hypersurface, and why it's important. The book concludes with two sets of problems: routine problems and difficult problems (many of which are unsolved). Principal prerequisites for using this book include a thorough understanding of advanced calculus and standard knowledge of complex analysis in one variable. Several Complex Variables and the Geometry of Real Hypersurfaces will be a useful text for advanced graduate students and professionals working in complex analysis.


Banach Algebras and Several Complex Variables

Banach Algebras and Several Complex Variables [Pdf/ePub] eBook Author: John Wermer
Editor: Springer Science & Business Media
ISBN-10: 1475738781
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Banach Algebras and Several Complex Variables by John Wermer Book Summary:

During the past twenty years many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. On the one hand, function theory has been used to answer algebraic questions such as the question of the existence of idempotents in a Banach algebra. On the other hand, concepts arising from the study of Banach algebras such as the maximal ideal space, the Silov boundary, Gleason parts, etc. have led to new questions and to new methods of proof in function theory. Roughly one third of this book isconcerned with developing some of the principal applications of function theory in several complex variables to Banach algebras. We presuppose no knowledge of severalcomplex variables on the part of the reader but develop the necessary material from scratch. The remainder of the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. For n > I no complete theory exists but many important particular problems have been solved. Throughout, our aim has been to make the exposition elementary and self-contained. We have cheerfully sacrificed generality and completeness all along the way in order to make it easier to understand the main ideas.

Download or read Banach Algebras and Several Complex Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). During the past twenty years many connections have been found between the theory of analytic functions of one or more complex variables and the study of commutative Banach algebras. On the one hand, function theory has been used to answer algebraic questions such as the question of the existence of idempotents in a Banach algebra. On the other hand, concepts arising from the study of Banach algebras such as the maximal ideal space, the Silov boundary, Gleason parts, etc. have led to new questions and to new methods of proof in function theory. Roughly one third of this book isconcerned with developing some of the principal applications of function theory in several complex variables to Banach algebras. We presuppose no knowledge of severalcomplex variables on the part of the reader but develop the necessary material from scratch. The remainder of the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. For n > I no complete theory exists but many important particular problems have been solved. Throughout, our aim has been to make the exposition elementary and self-contained. We have cheerfully sacrificed generality and completeness all along the way in order to make it easier to understand the main ideas.


Analytic Functions of Several Complex Variables

Analytic Functions of Several Complex Variables [Pdf/ePub] eBook Author: Robert Clifford Gunning,Hugo Rossi
Editor: American Mathematical Soc.
ISBN-10: 0821821652
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Analytic Functions of Several Complex Variables by Robert Clifford Gunning,Hugo Rossi Book Summary:

The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincare and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces. Further information about this book, including updates, can be found at the following URL: www.ams.org/bookpages/chel-368.

Download or read Analytic Functions of Several Complex Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincare and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces. Further information about this book, including updates, can be found at the following URL: www.ams.org/bookpages/chel-368.


Elementary Theory of Analytic Functions of One or Several Complex Variables

Elementary Theory of Analytic Functions of One or Several Complex Variables [Pdf/ePub] eBook Author: Henri Cartan
Editor: Courier Corporation
ISBN-10: 0486318672
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Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan Book Summary:

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.

Download or read Elementary Theory of Analytic Functions of One or Several Complex Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). 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.


Holomorphic Functions and Integral Representations in Several Complex Variables

Holomorphic Functions and Integral Representations in Several Complex Variables [Pdf/ePub] eBook Author: R. Michael Range
Editor: Springer Science & Business Media
ISBN-10: 1475719183
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Holomorphic Functions and Integral Representations in Several Complex Variables by R. Michael Range Book Summary:

The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.

Download or read Holomorphic Functions and Integral Representations in Several Complex Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.


Several Complex Variables II

Several Complex Variables II [Pdf/ePub] eBook Author: G.M. Khenkin,A.G. Vitushkin
Editor: Springer Science & Business Media
ISBN-10: 3642578829
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Several Complex Variables II by G.M. Khenkin,A.G. Vitushkin Book Summary:

Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and. most importantly, their close connection with holomorphic functions have assured plurisubharmonic functions a lasting place in multidimensional complex analysis. (Pluri)subharmonic functions first made their appearance in the works of Hartogs at the beginning of the century. They figure in an essential way, for example, in the proof of the famous theorem of Hartogs (1906) on joint holomorphicity. Defined at first on the complex plane IC, the class of subharmonic functions became thereafter one of the most fundamental tools in the investigation of analytic functions of one or several variables. The theory of subharmonic functions was developed and generalized in various directions: subharmonic functions in Euclidean space IRn, plurisubharmonic functions in complex space en and others. Subharmonic functions and the foundations ofthe associated classical poten tial theory are sufficiently well exposed in the literature, and so we introduce here only a few fundamental results which we require. More detailed expositions can be found in the monographs of Privalov (1937), Brelot (1961), and Landkof (1966). See also Brelot (1972), where a history of the development of the theory of subharmonic functions is given.

Download or read Several Complex Variables II book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and. most importantly, their close connection with holomorphic functions have assured plurisubharmonic functions a lasting place in multidimensional complex analysis. (Pluri)subharmonic functions first made their appearance in the works of Hartogs at the beginning of the century. They figure in an essential way, for example, in the proof of the famous theorem of Hartogs (1906) on joint holomorphicity. Defined at first on the complex plane IC, the class of subharmonic functions became thereafter one of the most fundamental tools in the investigation of analytic functions of one or several variables. The theory of subharmonic functions was developed and generalized in various directions: subharmonic functions in Euclidean space IRn, plurisubharmonic functions in complex space en and others. Subharmonic functions and the foundations ofthe associated classical poten tial theory are sufficiently well exposed in the literature, and so we introduce here only a few fundamental results which we require. More detailed expositions can be found in the monographs of Privalov (1937), Brelot (1961), and Landkof (1966). See also Brelot (1972), where a history of the development of the theory of subharmonic functions is given.


Several Complex Variables, Part 1

Several Complex Variables, Part 1 [Pdf/ePub] eBook Author: Raymond O'Neil Wells,American Mathematical Society
Editor: American Mathematical Soc.
ISBN-10: 0821802496
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Several Complex Variables, Part 1 by Raymond O'Neil Wells,American Mathematical Society Book Summary:

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

Download or read Several Complex Variables, Part 1 book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Text contains sections on Singularities of analytic spaces, Function theory and real analysis, Compact complex manifolds, Survey papers


Entire Functions of Several Complex Variables

Entire Functions of Several Complex Variables [Pdf/ePub] eBook Author: Pierre Lelong,Lawrence Gruman
Editor: Springer Science & Business Media
ISBN-10: 3642703445
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Entire Functions of Several Complex Variables by Pierre Lelong,Lawrence Gruman Book Summary:

I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.

Download or read Entire Functions of Several Complex Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.


Several Complex Variables with Connections to Algebraic Geometry and Lie Groups

Several Complex Variables with Connections to Algebraic Geometry and Lie Groups [Pdf/ePub] eBook Author: Joseph L. Taylor
Editor: American Mathematical Soc.
ISBN-10: 082183178X
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Several Complex Variables with Connections to Algebraic Geometry and Lie Groups by Joseph L. Taylor Book Summary:

This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraic sheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a wide variety of applications and these are covered in detail. Of particular interest are the last three chapters, which are devoted to applications of the preceding material to the study of the structure and representations of complex semisimple Lie groups.Included in this text are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Milicic's proof of the Borel-Weil-Bott theorem, which makes extensive use of the material developed earlier in the text. There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for the expert.

Download or read Several Complex Variables with Connections to Algebraic Geometry and Lie Groups book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). This text presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraic sheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a wide variety of applications and these are covered in detail. Of particular interest are the last three chapters, which are devoted to applications of the preceding material to the study of the structure and representations of complex semisimple Lie groups.Included in this text are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Milicic's proof of the Borel-Weil-Bott theorem, which makes extensive use of the material developed earlier in the text. There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for the expert.


Lectures on Several Complex Variables

Lectures on Several Complex Variables [Pdf/ePub] eBook Author: Paul M. Gauthier
Editor: Springer
ISBN-10: 3319115111
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Lectures on Several Complex Variables by Paul M. Gauthier Book Summary:

​​​This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions. Based on a course given at Université de Montréal, this brief introduction covers areas of contemporary importance that are not mentioned in most treatments of the subject, such as modular forms, which are essential for Wiles' theorem and the unification of quantum theory and general relativity. Also covered is the Riemann manifold of a function, which generalizes the Riemann surface of a function of a single complex variable and is a topic that is well-known in one complex variable, but rarely treated in several variables. Many details, which are intentionally left out, as well as many theorems are stated as problems, providing students with carefully structured instructive exercises. Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level. Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.

Download or read Lectures on Several Complex Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). ​​​This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions. Based on a course given at Université de Montréal, this brief introduction covers areas of contemporary importance that are not mentioned in most treatments of the subject, such as modular forms, which are essential for Wiles' theorem and the unification of quantum theory and general relativity. Also covered is the Riemann manifold of a function, which generalizes the Riemann surface of a function of a single complex variable and is a topic that is well-known in one complex variable, but rarely treated in several variables. Many details, which are intentionally left out, as well as many theorems are stated as problems, providing students with carefully structured instructive exercises. Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level. Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.


Functions of Several Complex Variables and Their Singularities

Functions of Several Complex Variables and Their Singularities [Pdf/ePub] eBook Author: Wolfgang Ebeling
Editor: American Mathematical Soc.
ISBN-10: 0821833197
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Functions of Several Complex Variables and Their Singularities by Wolfgang Ebeling Book Summary:

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.

Download or read Functions of Several Complex Variables and Their Singularities book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). 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.


Several Complex Variables V

Several Complex Variables V [Pdf/ePub] eBook Author: G.M. Khenkin
Editor: Springer Science & Business Media
ISBN-10: 3642580114
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Several Complex Variables V by G.M. Khenkin Book Summary:

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.

Download or read Several Complex Variables V book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). 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.


Theory of Analytic Functions of Several Complex Variables

Theory of Analytic Functions of Several Complex Variables [Pdf/ePub] eBook Author: Boris Abramovich Fuks
Editor: American Mathematical Soc.
ISBN-10: 9780821886441
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Theory of Analytic Functions of Several Complex Variables by Boris Abramovich Fuks Book Summary:

Download or read Theory of Analytic Functions of Several Complex Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).


Several Complex Variables IV

Several Complex Variables IV [Pdf/ePub] eBook Author: Semen G. Gindikin,Gennadij M. Khenkin
Editor: Springer Science & Business Media
ISBN-10: 3642612636
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Several Complex Variables IV by Semen G. Gindikin,Gennadij M. Khenkin Book Summary:

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.

Download or read Several Complex Variables IV book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). 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.


An Introduction to Complex Analysis in Several Variables

An Introduction to Complex Analysis in Several Variables [Pdf/ePub] eBook Author: L. Hormander
Editor: Elsevier
ISBN-10: 0444105239
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An Introduction to Complex Analysis in Several Variables by L. Hormander Book Summary:

An Introduction to Complex Analysis in Several Variables

Download or read An Introduction to Complex Analysis in Several Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). An Introduction to Complex Analysis in Several Variables


Complex Analysis of Several Variables

Complex Analysis of Several Variables [Pdf/ePub] eBook Author: Yum-Tong Siu
Editor: American Mathematical Soc.
ISBN-10: 082181446X
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Complex Analysis of Several Variables by Yum-Tong Siu Book Summary:

These proceedings are a collection of papers from the Symposium on Several Complex Variables held April 12-15, 1983 in Madison, Wisconsin. At the symposium, H. Grauert, J. J. Kohn, M. Schneider, H. Skoda and S. T. Yau delivered one-hour survey talks addressing major areas of important recent developments; in addition, over forty papers were presented as specialized half-hour talks. The book contains a selection of the presented papers as well as some contributed papers.

Download or read Complex Analysis of Several Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). These proceedings are a collection of papers from the Symposium on Several Complex Variables held April 12-15, 1983 in Madison, Wisconsin. At the symposium, H. Grauert, J. J. Kohn, M. Schneider, H. Skoda and S. T. Yau delivered one-hour survey talks addressing major areas of important recent developments; in addition, over forty papers were presented as specialized half-hour talks. The book contains a selection of the presented papers as well as some contributed papers.


Fourier Analysis in Several Complex Variables

Fourier Analysis in Several Complex Variables [Pdf/ePub] eBook Author: Leon Ehrenpreis
Editor: Courier Corporation
ISBN-10: 0486153037
Size: 1944 kb
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Fourier Analysis in Several Complex Variables by Leon Ehrenpreis Book Summary:

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.

Download or read Fourier Analysis in Several Complex Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). 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.


Partial Differential Equations in Several Complex Variables

Partial Differential Equations in Several Complex Variables [Pdf/ePub] eBook Author: So-Chin Chen,Mei-Chi Shaw
Editor: American Mathematical Soc.
ISBN-10: 9780821829615
Size: 1457 kb
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Partial Differential Equations in Several Complex Variables by So-Chin Chen,Mei-Chi Shaw Book Summary:

Partial Differential Equations (PDEs) have proven to be one of the hottest current mathematical subject areas. This fairly self-contained book provides a much-needed introductory text to several complex variables and PDEs. It also provides a rich source of information to experts.

Download or read Partial Differential Equations in Several Complex Variables book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc). Partial Differential Equations (PDEs) have proven to be one of the hottest current mathematical subject areas. This fairly self-contained book provides a much-needed introductory text to several complex variables and PDEs. It also provides a rich source of information to experts.