Several Complex Variables Vi

Author : Yum-Tong Siu
Publisher : American Mathematical Soc.
Page : 297 pages
File Size : 45,9 Mb
Release : 1984
Category : Mathematics
ISBN : 9780821814468

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Complex Analysis of Several Variables by Yum-Tong Siu Pdf

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.

Author : Jiri Lebl
Publisher : Lulu.com
Page : 142 pages
File Size : 54,6 Mb
Release : 2016-05-05
Category : Electronic
ISBN : 9781365095573

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Tasty Bits of Several Complex Variables by Jiri Lebl Pdf

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.

Author : Semen G. Gindikin,Gennadij M. Khenkin
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642612633

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Several Complex Variables IV by Semen G. Gindikin,Gennadij M. Khenkin Pdf

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.

Author : Pierre Lelong,Lawrence Gruman
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 42,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642703447

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Entire Functions of Several Complex Variables by Pierre Lelong,Lawrence Gruman Pdf

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.

Author : Robert Clifford Gunning,Hugo Rossi
Publisher : American Mathematical Soc.
Page : 338 pages
File Size : 45,6 Mb
Release : 2009
Category : Functional analysis
ISBN : 9780821821657

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Analytic Functions of Several Complex Variables by Robert Clifford Gunning,Hugo Rossi Pdf

The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. This title intends to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces.

Author : H. Grauert,K. Fritzsche
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461298748

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Several Complex Variables by H. Grauert,K. Fritzsche Pdf

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.

Author : Raghavan Narasimhan
Publisher : University of Chicago Press
Page : 185 pages
File Size : 46,7 Mb
Release : 1971
Category : Mathematics
ISBN : 9780226568171

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Several Complex Variables by Raghavan Narasimhan Pdf

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.

Author : Reinhold Remmert,Wolf Barth
Publisher : Unknown
Page : 328 pages
File Size : 46,6 Mb
Release : 1990
Category : Complex manifolds
ISBN : UOM:39015019656860

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Several Complex Variables VI by Reinhold Remmert,Wolf Barth Pdf

Author : Steven George Krantz
Publisher : American Mathematical Soc.
Page : 586 pages
File Size : 55,9 Mb
Release : 2001
Category : Functions of several complex variables
ISBN : 9780821827246

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Function Theory of Several Complex Variables by Steven George Krantz Pdf

Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.

Author : Michael Schneider,Yum-Tong Siu
Publisher : Cambridge University Press
Page : 582 pages
File Size : 52,6 Mb
Release : 1999
Category : Mathematics
ISBN : 0521770866

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Several Complex Variables by Michael Schneider,Yum-Tong Siu Pdf

Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.

Author : L. Hormander
Publisher : Elsevier
Page : 227 pages
File Size : 51,9 Mb
Release : 1973-02-12
Category : Mathematics
ISBN : 9780444105233

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An Introduction to Complex Analysis in Several Variables by L. Hormander Pdf

An Introduction to Complex Analysis in Several Variables

Author : Salomon Bochner,William Ted Martin
Publisher : Unknown
Page : 234 pages
File Size : 45,7 Mb
Release : 1948
Category : Mathematics
ISBN : STANFORD:36105030766013

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Several Complex Variables by Salomon Bochner,William Ted Martin Pdf

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 47,9 Mb
Release : 1990
Category : Electronic
ISBN : OCLC:909240935

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Several Complex Variables by Anonim Pdf

Author : G.M. Khenkin
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642613081

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Several Complex Variables III by G.M. Khenkin Pdf

We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space

Author : Henri Cartan
Publisher : Courier Corporation
Page : 242 pages
File Size : 47,9 Mb
Release : 2013-04-22
Category : Mathematics
ISBN : 9780486318677

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Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan Pdf

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.