| Harmonic Measure Contributor(s): Garnett, John B. (Author), Marshall, Donald E. (Author) |
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ISBN: 0521470188 ISBN-13: 9780521470186 Publisher: Cambridge University Press OUR PRICE: $194.75 Product Type: Hardcover - Other Formats Published: April 2005 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Calculus - Mathematics | Differential Equations - General |
| Dewey: 515.42 |
| LCCN: 2004045893 |
| Series: New Mathematical Monographs |
| Physical Information: 1.7" H x 6.4" W x 9.1" (2.00 lbs) 588 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
Contributor Bio(s): Marshall, Donald E.: - Donald E. Marshall is Professor of Mathematics in the Department of Mathematics at University of Washington, Seattle.Garnett, John B.: - John B. Garnett is Professor of Mathematics in the Department of Mathematics at University of California, Los Angeles. |