Quasiconformal Mappings and Analysis

A Collection of Papers Honoring F.W. Gehring

Peter Duren, Juha Heinonen, Brad Osgood, Bruce Palka (Herausgeber)

Buch | Softcover

378 Seiten

2012 | Softcover reprint of the original 1st ed. 1998
Springer-Verlag New York Inc.
978-1-4612-6836-9 (ISBN)

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In honor of Frederick W. Gehring on the occasion of his 70th birthday, an international conference on "Quasiconformal mappings and analysis" was held in Ann Arbor in August 1995. The 9 main speakers of the conference (Astala, Earle, Jones, Kra, Lehto, Martin, Pommerenke, Sullivan, and Vaisala) provide broad expository articles on various aspects of quasiconformal mappings and their relations to other areas of analysis. 12 other distinguished mathematicians contribute articles to this volume.

F.W. Gehring: A Biographical Sketch.- The Mathematics of F.W. Gehring.- Publications of F.W. Gehring.- Ph.D. Students of F.W. Gehring.- Fred Gehring and Finnish Mathematics.- Planar Quasiconformal Mappings;Deformations and Interactions.- Local Minimality Results Related to the Bloch and Landau Constants.- The Apollonian Metric of a Domain in
$$
{/mathbb{R}^n}
$$.- Conjugacy Invariants of Möbius Groups.- Extremal Quasiconformal Mappings in Plane Domains.- On the Asymptotic Behavior of Quasiconformal Mappings in Space.- The Gehring Lemma.- Old and New on the Quasihyperbolic Metric.- Kleinian Groups; Eichler Cohomology and the Complex Theory.- On the Geometry of Kleinian Groups.- Old and New on the Schwarzian Derivative.- The Gehring-Hayman Inequality in Conformal Mapping.- Extremal Extensions from the Circle to the Disk.- Construction of Quasiregular Mappings.- Mappings and Spaces.- Questions on Quasiconformal Maps in Space.- List of Contributors.

Zusatzinfo	X, 378 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Analysis
ISBN-10	1-4612-6836-2 / 1461268362
ISBN-13	978-1-4612-6836-9 / 9781461268369
Zustand	Neuware