Harmonic and subharmonic function theory on the hyperbolic ball

✍ Scribed by Stoll, Manfred

• Publisher: Cambridge University Press
• Year: 2016
• Tongue: English
• Leaves: 244
• Series: London Mathematical Society lecture note series 431; Lecture note series. London Mathematical Society ; 431
• Edition: 1
• Category: Library

✦ Synopsis

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

✦ Subjects

Harmonic functions.;Subharmonic functions.;Hyperbolic spaces.;Harmonic functions;Hyperbolic spaces;Subharmonic functions;Harmonische Funktion;Hyperbolische Geometrie