Exceptional Sets And Boundary Behavior Of Quasiregular Mappings In N Space

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Exceptional Sets And Boundary Behavior Of Quasiregular Mappings In N Space

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Author : Matti Vuorinen
language : en
Publisher:
Release Date : 1976

Exceptional Sets And Boundary Behavior Of Quasiregular Mappings In N Space written by Matti Vuorinen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Analytic functions categories.

Conformal Geometry And Quasiregular Mappings

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Author : Matti Vuorinen
language : en
Publisher: Springer
Release Date : 2006-11-15

Conformal Geometry And Quasiregular Mappings written by Matti Vuorinen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

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

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Author : Parisa Hariri
language : en
Publisher: Springer Nature
Release Date : 2020-04-11

Conformally Invariant Metrics And Quasiconformal Mappings written by Parisa Hariri and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-11 with Mathematics categories.

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

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Author : Evgeny Sevost'yanov
language : en
Publisher: Springer Nature
Release Date : 2023-11-18

Mappings With Direct And Inverse Poletsky Inequalities written by Evgeny Sevost'yanov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-18 with Mathematics categories.

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.

New Tools In Mathematical Analysis And Applications

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Author : Marcelo R. Ebert
language : en
Publisher: Springer Nature
Release Date : 2025-01-29

New Tools In Mathematical Analysis And Applications written by Marcelo R. Ebert and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-29 with Mathematics categories.

This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of São Paulo, Campus Ribeirão Preto, Brazil, on July 17-21, 2023. The papers, written by respected international experts, address recent results in mathematics, with a special focus on analysis. The volume constitutes a valuable resource on current research in mathematical analysis and its various interdisciplinary applications, both for specialists and non-specialists alike.

Quasiregular Mappings And Royden Algebras

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Author : NATHAN RAY SODERBORG
language : en
Publisher:
Release Date : 1991

Quasiregular Mappings And Royden Algebras written by NATHAN RAY SODERBORG and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.

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

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Author : C. Andreian Cazacu
language : en
Publisher: Springer
Release Date : 2006-11-14

Romanian Finnish Seminar On Complex Analysis written by C. Andreian Cazacu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Moduli In Modern Mapping Theory

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Author : Olli Martio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-09

Moduli In Modern Mapping Theory written by Olli Martio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-09 with Mathematics categories.

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.

Mathematica Scandinavica

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Author :
language : en
Publisher:
Release Date : 1983

Mathematica Scandinavica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.

Upper Density Properties Of Hausdorff Measures On Fractals

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Author : Arto Salli
language : en
Publisher:
Release Date : 1985

Upper Density Properties Of Hausdorff Measures On Fractals written by Arto Salli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Fractals categories.