Several Complex Variables Iii


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Analytic Functions of Several Complex Variables


Analytic Functions of Several Complex Variables

Author: Robert Clifford Gunning

language: en

Publisher: American Mathematical Soc.

Release Date: 2009


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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.

Several Complex Variables and Complex Manifolds


Several Complex Variables and Complex Manifolds

Author: Mike Field

language: en

Publisher: Cambridge University Press

Release Date: 1982


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Annotation This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject.

Several Complex Variables III


Several Complex Variables III

Author: G.M. Khenkin

language: en

Publisher: Springer Science & Business Media

Release Date: 2012-12-06


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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