Introduction to Complex Analysis in Several Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Complex Analysis in Several Variables write by Volker Scheidemann. This book was released on 2023. Introduction to Complex Analysis in Several Variables available in PDF, EPUB and Kindle. This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book aims primarily at students starting to work in the field of complex analysis in several variables and instructors preparing a course. To that end, a lot of examples and supporting exercises are provided throughout the text. This second edition includes hints and suggestions for the solution of the provided exercises, with various degrees of support.
An Introduction to Complex Analysis in Several Variables
An Introduction to Complex Analysis in Several Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Complex Analysis in Several Variables write by L. Hormander. This book was released on 1973-02-12. An Introduction to Complex Analysis in Several Variables available in PDF, EPUB and Kindle. An Introduction to Complex Analysis in Several Variables
Analytic Functions of Several Complex Variables
Analytic Functions of Several Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Functions of Several Complex Variables write by Robert Clifford Gunning. This book was released on 2009. Analytic Functions of Several Complex Variables available in PDF, EPUB and Kindle. 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.
Holomorphic Functions and Integral Representations in Several Complex Variables
Holomorphic Functions and Integral Representations in Several Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Holomorphic Functions and Integral Representations in Several Complex Variables write by R. Michael Range. This book was released on 2013-03-09. Holomorphic Functions and Integral Representations in Several Complex Variables available in PDF, EPUB and Kindle. 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.
Tasty Bits of Several Complex Variables
Tasty Bits of Several Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tasty Bits of Several Complex Variables write by Jiri Lebl. This book was released on 2016-05-05. Tasty Bits of Several Complex Variables available in PDF, EPUB and Kindle. 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.
