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  3. Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
  • Cited by 23
Publisher:
Cambridge University Press
Online publication date:
June 2016
Print publication year:
2016
Online ISBN:
9781316341063
DOI:
https://doi.org/10.1017/CBO9781316341063
Subjects:
Mathematics (general), Mathematics, Abstract Analysis, Real and Complex Analysis
Series:
London Mathematical Society Lecture Note Series (431)
Information

Book description

This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other relevant results for the hyperbolic upper half-space are included both in the text and in the end-of-chapter exercises. These exercises expand on the topics covered in the chapter and involve routine computations and inequalities not included in the text. The book also includes some open problems, which may be a source for potential research projects.

Reviews

'The author gives a comprehensive treatment of invariant potential theory. The exposition is clear and elementary. This book is recommended to graduate students and researchers interested in this field. It is a very good addition to the mathematical literature.'

Hiroaki Aikawa Source: MathSciNet

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Contents

Contents
References
References
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