The ubiquitous quasidisk
 Author/Creator
 Gehring, Frederick W.
 Language
 English.
 Publication
 Providence, Rhode Island : American Mathematical Society, 2012.
 Copyright notice
 ©2012
 Physical description
 xi, 171 pages : illustrations ; 27 cm.
 Series

Mathematical surveys and monographs ; no. 184.
Mathematical surveys and monographs ; v. 184.
Access
Available online

Stacks

Unknown
QA3 .A4 V.184

Unknown
QA3 .A4 V.184
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Contributors
 Contributor
 Hag, Kari, 1941
 Broch, Ole Jacob.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Publisher's Summary
 This book focuses on gathering the numerous properties and many different connections with various topics in geometric function theory that quasidisks possess. A quasidisk is the image of a disk under a quasiconformal mapping of the Riemann sphere. In 1981 Frederick W. Gehring gave a short course of six lectures on this topic in Montreal and his lecture notes "Characteristic Properties of Quasidisks" were published by the University Press of the University of Montreal. The notes became quite popular and within the next decade the number of characterizing properties of quasidisks and their ramifications increased tremendously. In the late 1990s Gehring and Hag decided to write an expanded version of the Montreal notes. At three times the size of the original notes, it turned into much more than just an extended version. New topics include twosided criteria. The text will be a valuable resource for current and future researchers in various branches of analysis and geometry, and with its clear and elegant exposition the book can also serve as a text for a graduate course on selected topics in function theory. Frederick W. Gehring (19252012) was a leading figure in the theory of quasiconformal mappings for over fifty years. He received numerous awards and shared his passion for mathematics generously by mentoring twentynine Ph.D. students and more than forty postdoctoral fellows. Kari Hag received her Ph.D. under Gehring's direction in 1972 and worked with him on the present text for more than a decade.
(source: Nielsen Book Data)
Subjects
 Subject
 Quasiconformal mappings.
 Geometric function theory.
 Functions of complex variables.
 Functions of a complex variable  Geometric function theory  Quasiconformal mappings in the plane.
 Functions of a complex variable  Geometric function theory  Conformal mappings of special domains.
 Functions of a complex variable  Geometric function theory  Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
 Functions of a complex variable  Geometric function theory  Quasiconformal mappings in $.
 Functions of a complex variable  Riemann surfaces  Conformal metrics (hyperbolic, Poincaré, distance functions)
Bibliographic information
 Publication date
 2012
 Copyright date
 2012
 Responsibility
 Frederick W. Gehring, Kari Hag ; with contributions by Ole Jacob Broch.
 Series
 Mathematical surveys and monographs ; v. 184
 ISBN
 9780821890868 (alk. paper)
 0821890867 (alk. paper)