5 edition of Several Complex Variables I found in the catalog.
Several Complex Variables I
A. G. Vitushkin
Written in English
|The Physical Object|
|Number of Pages||248|
The periods of integrals of abelian differentials on a compact surface of genus 9 immediately attach a g dimensional complex torus to X. If 9 ~ 2, the moduli space of X depends on 3g - 3 complex parameters. Thus problems in one complex variable lead, from the very . 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.
Several Complex Variables By B. Malgrange Notes by Raghavan Narasimhan Distributed for the No part of this book may be reproduced in any form by print, microﬁlm or any other means with- equations to the case of functions of several variables). 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 Price: $
Abstract: One of the approaches to the study of functions of several complex variables is to use methods originating in real analysis. In this concise book, the author gives a lucid presentation of how these methods produce a variety of global existence theorems in the theory of functions (based on the characterization of holomorphic functions as weak solutions of the Cauchy-Riemann equations). 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.
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$\begingroup$ Well,the objects of functions of several complex variables are manifolds with a complex topological vector space ore,they are the centerpieces of the bulk of postth century analysis and geometry and the tools of sheaf theory via commutative algebra are deeply interwoven in a result of all this,any "pure" approach-say,emphasizing analysis-only tells part.
This book is a short overview of the theory of several complex variables that emphasized the elementary aspects of the subject, such as Hartogs' theory, and domains of holomorphy. The price quoted here for the book is surely a mistake, and even though it is out of print, if Cited by: The book addresses various topics in multidimensional complex analysis from the point of view of Banach algebras.
Here are some relevant non-free books from other publishers. Steven G. Krantz, Function Theory of Several Complex Variables, second edition, This textbook is widely cited. I started to learn several complex variables a few weeks ago, and I noticed the absolute lack of textbooks on the subject.
Probably the book that comes more naturally as an extension of undergraduate complex analysis is Gunning and Rossi, but this title is out-of-print (even finding a used copy is nearly by: I have always had a soft spot for Gunning and Rossi ("Analytic Functions of Several Complex Variables"), probably because it is more "algebraic" in its approach) (sheaves, local rings, and so on.
Hormander's "Introduction to Complex Analysis in Several Variables" takes what I always thought was a more "analytic" approach. This book is a polished version of my course notes for MathSeveral Complex Variables, given in SpringSpringand Spring semesters at Oklahoma State University.
It should be suitable for a semester-long topics course or for self-study as an introduction to the subject. Book Description. 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.
Elementary theory of several complex variables In this chapter we study the n-dimensional complex vector space Cn and introduce some notation used throughout this book.
After recalling geometric and topolog-ical notions such as connectedness or convexity we will introduce holomorphic. The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a university lecture.
Therefore, the book contains more than 50 examples and more than supporting exercises. Englisch. My favorite is Narasimhan and Nievergelt's book, whose exposition is heavily influenced by ideas from several complex variables and differential geometry. It also contains Wolff's elementary proof of the Corona theorem, which is one of the gems of post's complex analysis.
Several avenues are available for members of the UVA community needing Library resources, including HathiTrust's newly-released trove of copyrighted digital material, open educational resources, online journals, databases, and e-books. Several Complex Variables. Format Book Published Princeton, Princeton Univ.
Press, Language. Complex Variable Theory on Open Subsets of C n: 1: Functions of one Complex Variable, Cauchy Integral Formula, Taylor Series, Analytic Continuation: 2: Cauchy Integral Formula (cont.), Inhomogeneous C.R.
Equation, Riemann Equation in One Variable, Functions of. Purchase An Introduction to Complex Analysis in Several Variables, Volume 7 - 3rd Edition. Print Book & E-Book.
ISBNBook Edition: 3. 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.
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.
The papers presented in the conference encompass all major aspects of several complex variables, in particular, in such areas as complex differential geometry, integral representation, boundary behavior of holomorphic functions, invariant metrics, holomorphic vector bundles, and pseudoconvexity.
An Introduction to Complex Analysis in Several Variables (2nd ed.) (ISSN series) by L. Hormander. Several Complex Variables JaapKorevaar,JanWiegerinck [email protected] there are similarities between complex analysis mathematician Oka, who has made fundamental contributions to complex analysis in several variables,beginningabout,cf..File Size: 1MB.
Also included is a theory of abstract complex manifolds of one complex dimension; holomorphic functions; Cauchy's integral, more. Exercis Basic treatment of the theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential /5(10).
A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool.5/5.
Several Complex Variables V: Complex Analysis in Partial Differential Equations and Mathematical Physics - Ebook written by G.M. Khenkin. Read this book using Google Play Books app on your PC, android, iOS devices.
Download for offline reading, highlight, bookmark or take notes while you read Several Complex Variables V: Complex Analysis in Partial Differential Equations and .Get this from a library!
Several complex variables. [Michael Schneider; Yum-Tong Siu; Mathematical Sciences Research Institute (Berkeley, Calif.);] -- "Several Complex Variables is a central area of mathematics with strong interactions with partial differential equations, algebraic geometry, number theory, and differential geometry.
The Additional Physical Format: Online version: Bochner, S. (Salomon), Several complex variables. Princeton, Princeton Univ. Press, (OCoLC)