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Quasiconformal Mappings and Analysis : A Collection of Papers Honoring F.W. Gehring - Juha Heinonen

Quasiconformal Mappings and Analysis

A Collection of Papers Honoring F.W. Gehring

By: Juha Heinonen (Editor), P. L. Duren (Editor), B.G. Osgood (Editor), B.P. Palka (Editor)

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Published: 25th November 1997
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This book comprises a broad selection of expository articles that were written in conjunction with an international conference held to honor F.W. Gehring on the occasion of his 70th birthday. The objective of both the symposium and the present volume was to survey a wide array of topics related to Gehring's fundamental research in the field of quasiconformal mappings, emphasizing the relation of these mappings to other areas of analysis. The book begins with a short biographical sketch and an overview of Gehring's mathematical achievements, including a complete list of his publications. This is followed by Olli Lehto's account of Gehring's career-long involvement with the Finnish mathematical community and his role in the evolution of the Finnish school of quasiconformal mapping. The remaining articles, written by prominent authorities in diverse branches of analysis, are arranged alphabetically. The principal speakers at the symposium were: Astala, Baernstein Earle, Jones, Kra, Lehto, Martin, Sullivan, and Va"isa"la". Other individuals, some unable to attend the conference, were invited to contribute articles to the volume, which should give readers new insights into numerous aspects of quasiconformal mappings and their applications to other fields of mathematical analysis. Friends and colleagues of Professor Gehring will be especially interested in the personal accounts of his mathematical career and the descriptions of his many important research contributions.

Preface
F. W. Gehring: A Biographical Sketchp. 1
The Mathematics of F. W. Gehringp. 5
Publications of F. W. Gehringp. 9
Ph.D. Students of F. W. Gehringp. 17
Fred Gehring and Finnish Mathematicsp. 19
Planar Quasiconformal Mappings; Deformations and Interactionsp. 33
Local Minimality Results Related to the Bloch and Landau Constantsp. 55
The Apollonian Metric of a Domain in R[superscript n]p. 91
Conjugacy Invariants of Mobius Groupsp. 109
Extremal Quasiconformal Mappings in Plane Domainsp. 141
On the Asymptotic Behavior of Quasiconformal Mappings in Spacep. 159
The Gehring Lemmap. 181
Old and New on the Quasihyperbolic Metricp. 205
Kleinian Groups; Eichler Cohomology and the Complex Theoryp. 221
On the Geometry of Kleinian Groupsp. 253
Old and New on the Schwarzian Derivativep. 275
The Gehring-Hayman Inequality in Conformal Mappingp. 309
Extremal Extensions from the Circle to the Diskp. 321
Construction of Quasiregular Mappingsp. 337
Mappings and Spacesp. 347
Questions on Quasiconformal Maps in Spacep. 369
List of Contributorsp. 375
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387982991
ISBN-10: 038798299X
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 378
Published: 25th November 1997
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.61