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Harmonic Measure
John B. Garnett
Donald E. Marshall
出版
Cambridge University Press
, 2005-04-04
主題
Mathematics / Algebra / Abstract
Mathematics / Calculus
Mathematics / Differential Equations / General
Mathematics / Probability & Statistics / General
Mathematics / Mathematical Analysis
Mathematics / Complex Analysis
ISBN
0521470188
9780521470186
URL
http://books.google.com.hk/books?id=MhXkOC2yAqQC&hl=&source=gbs_api
EBook
SAMPLE
註釋
This book provides an enlightening survey of remarkable new results that have only recently been discovered in the past two decades about harmonic measure in the complex plane. 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.