Lectures On The Theory Of Functions Of Several Complex Variables
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Lectures On The Theory Of Functions Of Several Complex Variables
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Author : Bernard Malgrange
language : en
Publisher:
Release Date : 1984
Lectures On The Theory Of Functions Of Several Complex Variables written by Bernard Malgrange and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Functions of several complex variables categories.
Several Complex Variables
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Author : H. Grauert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Several Complex Variables 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 2012-12-06 with Mathematics categories.
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.
Lectures On The Theory Of Functions Of Several Complex Variables
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Author : B. Malgrange
language : de
Publisher:
Release Date : 1984
Lectures On The Theory Of Functions Of Several Complex Variables written by B. Malgrange and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Several Complex Variables
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Author : Raghavan Narasimhan
language : en
Publisher: University of Chicago Press
Release Date : 1971
Several Complex Variables written by Raghavan Narasimhan and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
Drawn from lectures given by Raghavan Narasimhan at the University of Geneva and the University of Chicago, this book presents the part of the theory of several complex variables pertaining to unramified domains over C . Topics discussed are Hartogs' theory, domains in holomorphy, and automorphism of bounded domains.
Lectures On The Theory Of Functions Of A Complex Variable Holomorphic Functions
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Author : Giovanni Sansone
language : en
Publisher:
Release Date : 1960
Lectures On The Theory Of Functions Of A Complex Variable Holomorphic Functions written by Giovanni Sansone and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Functions of complex variables categories.
Lectures On Functions Of Several Complex Variables
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Author : Lars Hörmander
language : en
Publisher:
Release Date : 1964
Lectures On Functions Of Several Complex Variables written by Lars Hörmander and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Functions of complex variables categories.
Functions Of Several Complex Variables And Their Singularities
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Author : Wolfgang Ebeling
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Functions Of Several Complex Variables And Their Singularities written by Wolfgang Ebeling 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 2007 with Mathematics categories.
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.
Tasty Bits Of Several Complex Variables
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Author : Jiri Lebl
language : en
Publisher: Lulu.com
Release Date : 2016-05-05
Tasty Bits Of Several Complex Variables written by Jiri Lebl and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-05 with Science categories.
This book is a polished version of my course notes for Math 6283, Several Complex Variables, given in Spring 2014 and Spring 2016 semester at Oklahoma State University. The course covers basics of holomorphic function theory, CR geometry, the dbar problem, integral kernels and basic theory of complex analytic subvarieties. See http: //www.jirka.org/scv/ for more information.
Introduction To Holomorphic Functions Of Several Variables Volume Ii
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Author : R.C. Gunning
language : en
Publisher: Routledge
Release Date : 2018-05-02
Introduction To Holomorphic Functions Of Several Variables Volume Ii written by R.C. Gunning and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with Mathematics categories.
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.