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Titlebook: Conformally Invariant Metrics and Quasiconformal Mappings; Parisa Hariri,Riku Klén,Matti Vuorinen Book 2020 Springer Nature Switzerland AG

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发表于 2025-3-21 16:46:49 | 显示全部楼层 |阅读模式
书目名称Conformally Invariant Metrics and Quasiconformal Mappings
编辑Parisa Hariri,Riku Klén,Matti Vuorinen
视频video
概述Brings under one roof results previously scattered in many research papers published during the past 50 years since the origin of the three-dimensional theory of quasiconformal and quasiregular mappin
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Conformally Invariant Metrics and Quasiconformal Mappings;  Parisa Hariri,Riku Klén,Matti Vuorinen Book 2020 Springer Nature Switzerland AG
描述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..
出版日期Book 2020
关键词Möbius transformations; Quasiconformal mappings in the plane; Quasiregular mappings in Rn; conformal in
版次1
doihttps://doi.org/10.1007/978-3-030-32068-3
isbn_softcover978-3-030-32070-6
isbn_ebook978-3-030-32068-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Nature Switzerland AG 2020
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发表于 2025-3-21 22:05:22 | 显示全部楼层
Book 20202). 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
发表于 2025-3-22 01:25:12 | 显示全部楼层
1439-7382 adership 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..978-3-030-32070-6978-3-030-32068-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
发表于 2025-3-22 07:59:42 | 显示全部楼层
1439-7382 dimensional theory of quasiconformal and quasiregular mappinThis 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‘ appro
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John Chi-Kin Lee,Orlando Nang-Kwok HoIn geometric function theory, invariance properties of metrics are important. In our work below, two notions of invariance are most important; invariance with respect to the group of Möbius transformations and invariance with respect to the group of similarity transformations.
发表于 2025-3-23 02:59:16 | 显示全部楼层
John Chi-Kin Lee,Orlando Nang-Kwok HoIn this chapter we shall consider some geometric issues related to the hyperbolic or quasihyperbolic metric. We begin with several comparison results for the quasihyperbolic metric. Here an important fact is that various metrics may be comparable in some but not in all domains.
发表于 2025-3-23 07:13:37 | 显示全部楼层
Transition to School: Normative or Relative?For the sake of easy reference and for the reader’s convenience we shall give in this chapter the basic properties of the modulus of a curve family. The proofs of several well-known results are omitted.
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