Growth Theory of Subharmonic Functions

• Main Author: Azarin, Vladimir. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Birkhũser Basel, 2009.
• Series: Birkhũser Advanced Texts / Basler Lehrb<U+00fc>cher
• Subjects: Mathematics.; Potential theory (Mathematics).; Potential Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-8886-7

In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables. The presentation aims at converting the noble art of constructing an entire function with prescribed asymptotic behavio...

Table of Contents:

• 1. Preface
• 2. Auxiliary information. Subharmonic functions
• 3. Asymptotic behavior of subharmonic functions of finite order
• 4. Structure of the limit sets
• 5. Applications to entire functions
• 6. Application to the completeness of exponential systems in a convex domain and the multiplicator problem
• Notation
• List of terms
• References.