Analytic Functions of Several Complex Variables PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Analytic Functions of Several Complex Variables PDF full book. Access full book title Analytic Functions of Several Complex Variables by Robert Clifford Gunning. Download full books in PDF and EPUB format.
Author: Robert Clifford Gunning
Publisher: American Mathematical Soc.
ISBN: 0821821652
Category : Mathematics
Languages : en
Pages : 338
Get Book Here
Book Description
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: Eric Bedford
Publisher: American Mathematical Soc.
ISBN: 9780821814888
Category : Mathematics
Languages : en
Pages : 396
Get Book Here
Book Description
This three-volume set contains the proceedings of the Summer Research Institute on Several Complex Variables and Complex Geometry, held at the University of California at Santa Cruz in July 1989. The institute explored recent developments in the geometry and function theory of several complex variables. An attempt was made to stimulate interactions among the different methodologies in the subject, such as differential geometry, algebraic geometry, partial differential equations, harmonic analysis, and classical methods. The topics covered include function theory, complex geometry, partial differential equations, functional analysis, and analysis on manifolds. With contributions by some of the world's top experts in several complex variables and complex geometry, this book provides readers with insight into the current state of this field.
Author: Robert Clifford Gunning
Publisher: American Mathematical Soc.
ISBN: 0821821652
Category : Mathematics
Languages : en
Pages : 338
Get Book Here
Book Description
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: Joseph L. Taylor
Publisher: American Mathematical Soc.
ISBN: 082183178X
Category : Mathematics
Languages : en
Pages : 530
Get Book Here
Book Description
This text presents an integrated development of core material from 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 algebraicsheaves, 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 arethe last three chapters, which are devoted to applications of the preceding material to the study of the structure theory and representation theory of complex semisimple Lie groups. Included 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 theexpert.
Author: G.M. Khenkin
Publisher: Springer Science & Business Media
ISBN: 364261308X
Category : Mathematics
Languages : en
Pages : 265
Get Book Here
Book Description
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: Eric Bedford
Publisher: American Mathematical Soc.
ISBN: 0821814915
Category : Mathematics
Languages : en
Pages : 386
Get Book Here
Book Description
Author: Eric Bedford
Publisher: American Mathematical Soc.
ISBN: 0821814907
Category : Mathematics
Languages : en
Pages : 644
Get Book Here
Book Description
Author: Jiri Lebl
Publisher: Lulu.com
ISBN: 1365095576
Category : Science
Languages : en
Pages : 142
Get Book Here
Book Description
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: Jiri Lebl
Publisher: Lulu.com
ISBN: 035964225X
Category :
Languages : en
Pages : 184
Get Book Here
Book Description
An introduction to the field of Several Complex Variables. A course for graduate students after one semester of standard complex analysis in one variable. This book is a polished version of my course notes for Math 6283, Several Complex Variables, given in Spring 2014, Spring 2016, and Spring 2019 semesters at Oklahoma State University. See https: //www.jirka.org/scv/ for more information.
Author: Steven George Krantz
Publisher: American Mathematical Soc.
ISBN: 0821827243
Category : Mathematics
Languages : en
Pages : 586
Get Book Here
Book Description
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: H. Grauert
Publisher: Springer Science & Business Media
ISBN: 3662098733
Category : Mathematics
Languages : en
Pages : 374
Get Book Here
Book Description
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.
