Analytic functions of several complex variables.
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Analytic functions of several complex variables. Lectures delivered at the Institute for Advanced Study, 1948-1949. Notes by P.T. Bateman. by Carl Ludwig Siegel

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Published by Institute for Advanced Study] in [Princeton .
Written in English

Subjects:

  • Functions of complex variables

Book details:

Classifications
LC ClassificationsQA331 S53
The Physical Object
Pagination[200 leaves]
Number of Pages200
ID Numbers
Open LibraryOL18106669M

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  The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. $\begingroup$ 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 . Analytic Functions of Several Complex Variables | Robert C. Gunning, Hugo Rossi, | download | B–OK. Download books for free. Find books. The purpose of this book is to present the classical analytic function theory of several variables as a standard subject in a course of mathematics after learning the elementary materials (sets, general topology, algebra, one complex variable). This includes the essential parts of Grauert–Remmert'sBrand: Springer Singapore.

Noted mathematician offers basic treatment of 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 systems where data is analytic. Also included is a systematic, though elementary, exposition of theory of abstract complex manifolds of one complex . Also included is a theory of abstract complex manifolds of one complex dimension; holomorphic functions; Cauchy's integral, more. 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 systems /5(10). Holomorphic functions Local rings of holomorphic functions Varieties Analytic sheaves Analytic spaces Cohomology theory Stein spaces, geometric theory Stein spaces, sheaf theory Pseudoconvexity Partitions of unity The theorem of Schwartz on Frechet spaces References Bibliography Index. functions and mapping of several complex variables and prove the n-dimensional h-out this book n,m denote natural numbers (including zero). The set of strictly positive naturals will be denoted by N +, the set of strictly positive reals by R +.

The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincare and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for. 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. Analytic Functions of a Complex Variable 1 Definitions and Theorems Definition 1 A function f(z) is said to be analytic in a region R of the complex plane if f(z) has a derivative at each point of R and if f(z) is single valued. Definition 2 A function f(z) is said to be analytic at a point z if z is an interior point of some region. Theory of Analytic Functions of Several Complex Variables | B. A. Fuks | download | B–OK. Download books for free. Find books.