Several Complex Variables III Geometric Function Theory [Paperback]

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 spaceWe 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 spaceI. Entire Functions.- II. Multidimensional Value Distribution Theory.- III. Invariant Metrics.- IV. Finiteness Theorems for Holomorphic Maps.- V. Holomorphic Maps in ? and the Problem of Holomorphic Equivalence.- VI. The Geometry of CR-Manifolds.- VII. Supersymmetry and Complex Geometry.- Author Index.Springer Book ArchivesDE