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Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

by Manfred Stoll

Cambridge University Press

Paperback 230 pages English Jun 30, 2016

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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.
Author:
Manfred Stoll
Publisher:
Cambridge University Press
Publication Date:
Jun 30, 2016
Number of pages:
230 pages
Language:
English
Binding:
Paperback
ISBN-10:
1107541484
ISBN-13:
9781107541481