| eBook ISBN: | 978-1-4704-2381-0 |
| Product Code: | CBMS/21.E |
| List Price: | $25.00 |
| Individual Price: | $20.00 |
| eBook ISBN: | 978-1-4704-2381-0 |
| Product Code: | CBMS/21.E |
| List Price: | $25.00 |
| Individual Price: | $20.00 |
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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.
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Table of Contents
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Chapters
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1. Review of some basic results in one variable
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2. Hermitian vector space
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3. Analytic chains and divisors
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4. The two main theorems
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5. The Jensen-Poisson formula. Canonical functions
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6. Functions of finite order
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7. Theta functions
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8. Functions of finite $\lambda $-type
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9. Functions of finite order on the unit ball
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10. Functions of finite order on polydiscs
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11. Entire functions for analytic sets
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Reviews
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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 Jensen-Poisson 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
