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9780521720601

Harmonic Measure

by
  • ISBN13:

    9780521720601

  • ISBN10:

    0521720605

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2008-07-07
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

Jordan domains
Finitely connected domains
Potential theory
Extremal distance
Applications and reverse inequalities
Simply connected domains
7 Bloch functions and quasicircles
Simply connected domains
9 Infinitely connected domains
Rectifiability and quadratic expressions
Appendices
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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