Harmonic and Subharmonic Function Theory on the Hyperbolic Ball: 431 (London Mathematical Society Lecture Note Series, Series Number 431) - Softcover

Stoll, Manfred

Softcover

ISBN 10: 1107541484 ISBN 13: 9781107541481

Verlag: Cambridge University Press, 2016

Inhaltsangabe

This detailed and comprehensive treatment is ideal for established researchers in the field as well as graduate students who wish to learn more about harmonic and subharmonic function theory on the hyperbolic ball and upper half-space. The only prerequisites are a standard beginning graduate course in real analysis.

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Críticas

'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, MathSciNet

Reseña del editor

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.

Details zur Ausgabe

• Verlag: Cambridge University Press
• Erscheinungsdatum: 2016
• ISBN 10: 1107541484
• ISBN 13: 9781107541481
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 242