Book Review: Function theory of several complex variables
نویسندگان
چکیده
منابع مشابه
Aspects of Value Distribution Theory in Several Complex Variables
BY WILHELM STOLL During the last fifty years value distribution in one complex variable has been established as one of the most beautiful branches of complex analysis. In several variables, value distribution was slow to grow up. Only a few people were concerned and many obstacles had to be overcome. However, recently, the theory has gained wide recognition. The outlook for the future is bright...
متن کاملComplex Dynamics in Several Variables
1. Motivation 117 2. Iteration of Maps 118 3. Regular Versus Chaotic Behavior 119 4. The Horseshoe Map and Symbolic Dynamics 120 5. Hénon Maps 123 6. Properties of Horseshoe and Hénon Maps 126 7. Dynamically Defined Measures 127 8. Potential Theory 129 9. Potential Theory in One-Variable Dynamics 131 10. Potential Theory and Dynamics in Two Variables 133 11. Currents and Applications to Dynamic...
متن کاملSpectral theory in several variables
1. Recall the spectrum of a bounded linear operator T ∈ B(X) on a Banach space X, more generally a Banach algebra element a ∈ A: 1.1 σ(a) = σA(a) = {λ ∈ C : a− λ 6∈ A−1}, where of course 1.2 a ∈ A−1 ⇐⇒ ∃a′, a′′ ∈ A, a′a = 1 = aa′′ : for example for square matrices A = Cn×n we have the well worn cliche 1.3 σ(a) = σA(a) = {λ ∈ C : det(a− λ) = 0}; for continuous functions A = C(Ω) on compact Hausd...
متن کاملSome inequalities in connection to relative orders of entire functions of several complex variables
Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.
متن کاملA short introduction to several complex variables
This text is a short two hour introduction into the theory of several complex variables. These lectures were given in May 1996 at Caltech to the class Ma 108 substituting for someone else. As prerequisite, the topic requires some familiarity with complex analysis in one dimension. The higher dimensional generalization of complex analysis in one variables is an important part of mathematics. Our...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1983
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1983-15139-x