Harmonic and subharmonic function theory on the hyperbolic ball /
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| Author / Creator: | Stoll, Manfred. |
|---|---|
| Imprint: | Cambridge : Cambridge University Press, 2016. c2016. |
| Description: | xv, 225 pages : illustrations ; 23 cm. |
| Language: | English |
| Series: | London Mathematical Society lecture note series ; 431 London Mathematical Society lecture note series ; 431. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/10826186 |
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