Growth Theory of Subharmonic Functions

  • Vladimir Azarin

Part of the Birkhäuser Advanced Texts / Basler Lehrbücher book series (BAT)

About this book


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 behaviour to a handicraft. For this one should only construct the limit set that describes the asymptotic behaviour of the entire function.

All necessary material is developed within the book, hence it will be most useful as a reference book for the construction of entire functions.


Finite Potential theory behavior construction form function functions growth theory information presentation set sets subharmonic function variable

Authors and affiliations

  • Vladimir Azarin
    • 1
  1. 1.Department of MathematicsBar-Ilan UniversityRamat-GanIsrael

Bibliographic information