Harmonic Measure. New Mathematical Monographs, Volume 2 John B. Garnett

ISBN: 9781281085818

Published: January 10th 2010

ebook

571 pages


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Harmonic Measure. New Mathematical Monographs, Volume 2  by  John B. Garnett

Harmonic Measure. New Mathematical Monographs, Volume 2 by John B. Garnett
January 10th 2010 | ebook | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 571 pages | ISBN: 9781281085818 | 6.15 Mb

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 ofMoreDuring 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 book form 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.



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