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Quasiconformal Space Mappings: A collection of surveys 1960–1990 /
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Catalogue Information
Field name
Details
Dewey Class
515
Title
Quasiconformal Space Mappings ([EBook] :) : A collection of surveys 1960–1990 / / edited by Matti Vuorinen.
Added Personal Name
Vuorinen, Matti
editor.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1992.
Physical Details
X, 150 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1508
ISBN
9783540470618
Summary Note
This volume is a collection of surveys on function theory in euclidean n-dimensional spaces centered around the theme of quasiconformal space mappings. These surveys cover or are related to several topics including inequalities for conformal invariants and extremal length, distortion theorems, L(p)-theory of quasiconformal maps, nonlinear potential theory, variational calculus, value distribution theory of quasiregular maps, topological properties of discrete open mappings, the action of quasiconformal maps in special classes of domains, and global injectivity theorems. The present volume is the first collection of surveys on Quasiconformal Space Mappings since the origin of the theory in 1960 and this collection provides in compact form access to a wide spectrum of recent results due to well-known specialists. CONTENTS: G.D. Anderson, M.K. Vamanamurthy, M. Vuorinen: Conformal invariants, quasiconformal maps and special functions.- F.W. Gehring: Topics in quasiconformal mappings.- T.Iwaniec: L(p)-theory of quasiregular mappings.- O. Martio: Partial differential equations and quasiregular mappings.- Yu.G. Reshetnyak: On functional classes invariant relative to homothetics.- S. Rickman: Picard's theorem and defect relation for quasiconformal mappings.- U. Srebro: Topological properties of quasiregular mappings.- J. V{is{l{: Domains and maps.- V.A. Zorich: The global homeomorphism theorem for space quasiconformal mappings, its development and related open problems.:
Contents note
Conformal invariants, quasiconformal maps, and special functions -- Topics in quasiconformal mappings -- L p -theory of quasiregular mappings -- Partial differential equations and quasiregular mappings -- On functional classes invariant relative to homotheties -- Picard’s theorem and defect relation for quasiregular mappings -- Topological properties of quasiregular mappings -- Domains and maps -- The global homeomorphism theorem for space quasiconformal mappings, its development and related open problems.
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Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0094234
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Subject References:
Analysis
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Analysis (Mathematics)
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Mathematical analysis
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Mathematics
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Authors:
Vuorinen, Matti
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SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515
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