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Mathematics Harmonic Measure
Posted on 2010-04-12
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More John B. Garnett, Donald E. Marshall ¡°Harmonic Measure" During the past two decades several remarkable new results were discovered about harmonic measure in the complex plane. This volume offers a careful survey of these results and an introduction to the branch of analysis that 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 first four chapters present the necessary background material on univalent functions, potential theory, and extremal length. In addition, each chapter has numerous exercises to further inform and instruct readers. This work is accessible to students who have completed standard graduate courses in real and complex analysis. "
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