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Harmonic and subharmonic function theory on the hyperbolic ball

Author: Manfred Stoll
Publisher: Cambridge : Cambridge University Press, 2016. ©2016
Series: London Mathematical Society lecture note series, 431.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Stoll, Manfred.
Harmonic and subharmonic function theory on the hyperbolic ball.
Cambridge : Cambridge University Press, 2016
(DLC) 2015049530
(OCoLC)932385183
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Manfred Stoll
ISBN: 9781316341063 1316341062
OCLC Number: 960031050
Description: 1 online resource (xv, 225 pages).
Contents: Möbius transformations --
Möbius self-maps of the unit ball --
The invariant laplacian, gradient, and measure --
Harmonic and subharmonic functions --
The Poisson kernel and Poisson integrals --
Spherical harmonic expansions --
Hardy-type spaces of subharmonic functions --
Boundary behavior of Poisson integrals --
The Riesz decomposition theorem for subharmonic functions --
Bergman and Dirichlet spaces of harmonic functions.
Series Title: London Mathematical Society lecture note series, 431.
Responsibility: Manfred Stoll, University of South Carolina.

Abstract:

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  Read more...

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'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 Read more...

 
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