Invariant Potential Theory in the Unit Ball of Cn

Klappentext The results in potential theory with respect to the Laplace Beltrami operator D in several complex variables! with special emphasis on the unit ball in Cn. Zusammenfassung This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplace–Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn. The notes are self-contained, and should be accessible to anyone with some basic knowledge of several complex variables. Inhaltsverzeichnis 1. Notation and preliminary results; 2. The Bergman kernel; 3. The Laplace-Beltrami operator; 4. Invariant harmonic and subharmonic functions; 5. Poisson-Szegö integrals; 6. The Riesz decomposition theorem; 7. Admissible boundary limits of Poisson integrals; 8. Radial and admissible boundary limits of potentials; 9. Gradient estimates and Riesz potentials; 10. Spaces of invariant harmonic functions; References.

Dettagli sul prodotto

• Autori: Manfred Stoll, Manfred (University of South Carolina) Stoll
• Con la collaborazione di: J. W. S. Cassels (Editore), N. J. Hitchin (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 12.05.1994
• EAN: 9780521468305
• ISBN: 978-0-521-46830-5
• Pagine: 184
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi