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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)

Hardcover Published: 25th November 1997
ISBN: 9780387982991
Number Of Pages: 378

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In August 1995 an international symposium on "Quasiconformal Mappings and Analysis" was held in Ann Arbor on the occasion of Professor Fred­ erick W. Gehring's 70th birthday and his impending retirement from the Mathematics Department at the University of Michigan. The concept of the symposium was to feature broad survey talks on a wide array of topics related to Gehring's basic research contributions in the field of quasicon­ formal mappings, emphasizing their relations to other parts of analysis. Principal speakers were Kari Astala, Albert Baernstein, Clifford Earle, Pe­ ter Jones, Irwin Kra, OUi Lehto, Gaven Martin, Dennis Sullivan, and Jussi Vaisala. Financial support was provided by the National Science Founda­ tion, with additional grants from the University of Michigan and from the Institute for Mathematics and its Applications. The symposium was a great success. The speakers rose to the occasion and presented excellent survey lectures. The present volume was conceived as a means for disseminating those expositions to a wider audience. Ad­ ditional mathematicians, some of whom had not been able to attend the symposium, were invited to contribute similar articles. The result is a fit­ ting tribute to Fred Gehring's pre-eminent role in developing the theory of quasiconformal mappings, through his own research and writings and lec­ tures, and through his supervision of graduate students. The volume begins with descriptions of Gehring's mathematical career and an overview of his research achievements.

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

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