Overview
- Provides a well-organized account of the asymptotic behaviour 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher (BAT)
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Table of contents (6 chapters)
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Front Matter
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Back Matter
Keywords
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.
Authors and Affiliations
Bibliographic Information
Book Title: Growth Theory of Subharmonic Functions
Authors: Vladimir Azarin
Series Title: Birkhäuser Advanced Texts Basler Lehrbücher
DOI: https://doi.org/10.1007/978-3-7643-8886-7
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2009
Hardcover ISBN: 978-3-7643-8885-0Published: 20 October 2008
eBook ISBN: 978-3-7643-8886-7Published: 14 December 2008
Series ISSN: 1019-6242
Series E-ISSN: 2296-4894
Edition Number: 1
Number of Pages: VI, 259
Topics: Potential Theory