Manfred Stoll

Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

• Broschiertes Buch

Produktbeschreibung

A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 230
• Erscheinungstermin: 29. Juli 2016
• Englisch
• Abmessung: 226mm x 148mm x 15mm
• Gewicht: 380g
• ISBN-13: 9781107541481
• ISBN-10: 1107541484
• Artikelnr.: 45061756

Autorenporträt

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).

Inhaltsangabe

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.