Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book Harmonic and Subharmonic Function Theory on the Hyperbolic Ball by Manfred Stoll, Cambridge University Press
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Author: Manfred Stoll ISBN: 9781316666180
Publisher: Cambridge University Press Publication: June 30, 2016
Imprint: Cambridge University Press Language: English
Author: Manfred Stoll
ISBN: 9781316666180
Publisher: Cambridge University Press
Publication: June 30, 2016
Imprint: Cambridge University Press
Language: English

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.

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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.

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