Electronic ISBN:  9781470423810 
Product Code:  CBMS/21.E 
List Price:  $23.00 
Individual Price:  $18.40 

Book DetailsCBMS Regional Conference Series in MathematicsVolume: 21; 1974; 83 ppMSC: Primary 32;
In this expository paper one fundamental aspect of the theory, the construction of holomorphic functions with growth estimates to given zero sets, was selected as the central topic of the survey. In addition to two main theorems of value distribution are stated for a meromorphic map of a hermitian vector space into a complex projective space because of the fundamental importance of these theorems.

Table of Contents

Chapters

1. Review of some basic results in one variable

2. Hermitian vector space

3. Analytic chains and divisors

4. The two main theorems

5. The JensenPoisson formula. Canonical functions

6. Functions of finite order

7. Theta functions

8. Functions of finite $\lambda $type

9. Functions of finite order on the unit ball

10. Functions of finite order on polydiscs

11. Entire functions for analytic sets


Reviews

This monograph contains a survey of some recent research in the theory of distribution of values of holomorphic and meromorphic functions in \({\mathbf C}^n\). The main attention is on the question of the existence and integral representation of a function with given divisor.
L. I. Ronkin, Mathematical Reviews


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In this expository paper one fundamental aspect of the theory, the construction of holomorphic functions with growth estimates to given zero sets, was selected as the central topic of the survey. In addition to two main theorems of value distribution are stated for a meromorphic map of a hermitian vector space into a complex projective space because of the fundamental importance of these theorems.

Chapters

1. Review of some basic results in one variable

2. Hermitian vector space

3. Analytic chains and divisors

4. The two main theorems

5. The JensenPoisson formula. Canonical functions

6. Functions of finite order

7. Theta functions

8. Functions of finite $\lambda $type

9. Functions of finite order on the unit ball

10. Functions of finite order on polydiscs

11. Entire functions for analytic sets

This monograph contains a survey of some recent research in the theory of distribution of values of holomorphic and meromorphic functions in \({\mathbf C}^n\). The main attention is on the question of the existence and integral representation of a function with given divisor.
L. I. Ronkin, Mathematical Reviews