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Provides a well-organized account of the asymptotic behavior of subharmonic functions (in n dimensions) with applications to the study of the growth of entire functions of one complex variable
Clearly written, at the level of a second year graduate student specializing in analysis, and contains many exercises
Presents the application of a new tool, the limit set of entire and subharmonic functions
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.
Content Level »Research
Keywords »growth theory - potential theory - subharmonic function