John B. Garnett,
John B. (University of California, Los Angeles) Garnett,
Donald E. Marshall,
Donald E. (University of Washington) Marshall
e.a.
Harmonic Measure
Gebonden Engels 2005 9780521470186Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers.
Specificaties
ISBN13:9780521470186
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:588
Uitgever:Cambridge University Press
Serie:New Mathematical Mon
Lezersrecensies
Wees de eerste die een lezersrecensie schrijft!
Inhoudsopgave
1. Jordan domains; 2. Finitely connected domains; 3. Potential theory; 4. Extremal distance; 5. Applications and reverse inequalities; 6. Simply connected domains, part one; 7. Bloch functions and quasicircles; 8. Simply connected domains, part two; 9. Infinitely connected domains; 10. Rectifiability and quadratic expressions; Appendices.
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