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Exceptional Sets and Boundary Behavior of Quasiregular Mappings in N-space

Exceptional Sets and Boundary Behavior of Quasiregular Mappings in N-space PDF Author: Matti Vuorinen
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 550

Book Description

Exceptional Sets and Boundary Behavior of Quasiregular Mappings in N-space

Exceptional Sets and Boundary Behavior of Quasiregular Mappings in N-space PDF Author: Matti Vuorinen
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 550

Book Description

Conformal Geometry and Quasiregular Mappings

Conformal Geometry and Quasiregular Mappings PDF Author: Matti Vuorinen
Publisher: Springer
ISBN: 3540392076
Category : Mathematics
Languages : en
Pages : 228

Book Description
This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. The text leads the reader to the frontier of current research and covers some most recent developments in the subject, previously scatterd through the literature. A major role in this monograph is played by certain conformal invariants which are solutions of extremal problems related to extremal lengths of curve families. These invariants are then applied to prove sharp distortion theorems for quasiregular mappings. One of these extremal problems of conformal geometry generalizes a classical two-dimensional problem of O. Teichmüller. The novel feature of the exposition is the way in which conformal invariants are applied and the sharp results obtained should be of considerable interest even in the two-dimensional particular case. This book combines the features of a textbook and of a research monograph: it is the first introduction to the subject available in English, contains nearly a hundred exercises, a survey of the subject as well as an extensive bibliography and, finally, a list of open problems.

Conformally Invariant Metrics and Quasiconformal Mappings

Conformally Invariant Metrics and Quasiconformal Mappings PDF Author: Parisa Hariri
Publisher: Springer Nature
ISBN: 3030320685
Category : Mathematics
Languages : en
Pages : 504

Book Description
This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.

Mappings with Direct and Inverse Poletsky Inequalities

Mappings with Direct and Inverse Poletsky Inequalities PDF Author: Evgeny Sevost'yanov
Publisher: Springer Nature
ISBN: 3031454189
Category : Mathematics
Languages : en
Pages : 437

Book Description
The monograph is devoted to the use of the moduli method in mapping theory, in particular, the meaning of direct and inverse modulus inequalities and their possible applications. The main goal is the development of a modulus technique in the Euclidean space and some metric spaces (manifolds, surfaces, quotient spaces, etc.). Particular attention is paid to the local and boundary behavior of mappings, as well as to obtaining modulus inequalities for some classes. The reader is invited to familiarize himself with all the main achievements of the author, synthesized in this book. The results presented here are of a high scientific level, are new and have no analogues in the world with such a degree of generality.

Mathematica Scandinavica

Mathematica Scandinavica PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 352

Book Description

Moduli in Modern Mapping Theory

Moduli in Modern Mapping Theory PDF Author: Olli Martio
Publisher: Springer Science & Business Media
ISBN: 0387855882
Category : Mathematics
Languages : en
Pages : 368

Book Description
Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography.

QUASIREGULAR MAPPINGS AND ROYDEN ALGEBRAS.

QUASIREGULAR MAPPINGS AND ROYDEN ALGEBRAS. PDF Author: NATHAN RAY SODERBORG
Publisher:
ISBN:
Category :
Languages : en
Pages : 222

Book Description
quasiregular mapping induced by T:A($\Omega \sp\prime )\to \rm A \subset A(\Omega)$ is bounded above by $\Vert$T$\Vert \sp{\rm n \sp2}$.

Romanian-Finnish Seminar on Complex Analysis

Romanian-Finnish Seminar on Complex Analysis PDF Author: C. Andreian Cazacu
Publisher: Springer
ISBN: 3540348611
Category : Mathematics
Languages : en
Pages : 729

Book Description

Complex Analysis

Complex Analysis PDF Author: Julian Ławrynowicz
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 370

Book Description

Annales

Annales PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 420

Book Description

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