Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

Author:   Manfred Stoll (University of South Carolina)
Publisher:   Cambridge University Press
Volume:   431
ISBN:  

9781107541481


Pages:   230
Publication Date:   30 June 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Harmonic and Subharmonic Function Theory on the Hyperbolic Ball


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Author:   Manfred Stoll (University of South Carolina)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   431
Dimensions:   Width: 15.20cm , Height: 1.50cm , Length: 22.80cm
Weight:   0.370kg
ISBN:  

9781107541481


ISBN 10:   1107541484
Pages:   230
Publication Date:   30 June 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface; 1. Möbius transformations; 2. Möbius self-maps of the unit ball; 3. Invariant Laplacian, gradient and measure; 4. H-harmonic and H-subharmonic functions; 5. The Poisson kernel; 6. Spherical harmonic expansions; 7. Hardy-type spaces; 8. Boundary behavior of Poisson integrals; 9. The Riesz decomposition theorem; 10. Bergman and Dirichlet spaces; References; Index of symbols; Index.

Reviews

'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 '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


'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


Author Information

Manfred Stoll is Distinguished Professor Emeritus in the Department of Mathematics at the University of South Carolina. His books include Invariant Potential Theory in the Unit Ball of Cn (Cambridge, 1994) and Introduction to Real Analysis (1997).

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