Several Complex Variables III: Geometric Function Theory
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Bibliographic Details
Other Authors: Khenkin, G. M. (Editor)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1989
Series:Encyclopaedia of Mathematical Sciences 9
Subjects:
Online Access:Volltext
Item Description: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 <en (i. e. JEH( 1 variables, as in the case n = 1, a central theme deals with questions of growth of functions and the distribution of their zeros. However, there are significant differences between the cases of one and several variables. In the first place there is the fact that for n> 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
Physical Description:1 Online-Ressource (VII, 261p)
ISBN:9783642613081
9783642647857
ISSN:0938-0396
DOI:10.1007/978-3-642-61308-1

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