Several complex variables III : geometric function theory

Contributor(s):

Khenkin, G. M [editor]

Series: Encyclopaedia of mathematical sciences ; v. 9Publication details: New York : Springer-Verlag, 2020.Description: 261 p. ; 24 cmISBN:

9783662606353

Subject(s):

DDC classification:

517.55 KHE-S

Online resources:

Summary: 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.

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Previous	517.55 JAR-I Invariant distances and metrics in complex analysis	517.55 JAR-I Invariant distances and metrics in complex analysis	517.55 KHE-S Several complex variables II : function theory in classical domains : complex potential theory	517.55 KHE-S Several complex variables III : geometric function theory	517.55 KRA-F Function theory of several complex variables	517.55 KRA-F Function theory of several complex variables	517.55 LEL-E Entire functions of several complex variables	Next

Translation of: Kompleksnyĭ analiz-mnogie peremennye 3.

Includes bibliographies and indexes

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.

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