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Conformal Geometry and Quasiregular Mappings / by Matti Vuorinen
(Lecture Notes in Mathematics. ISSN:16179692 ; 1319)
版 | 1st ed. 1988. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 1988 |
大きさ | XXII, 214 p : online resource |
著者標目 | *Vuorinen, Matti author SpringerLink (Online service) |
件 名 | LCSH:Potential theory (Mathematics) LCSH:Geometry, Differential FREE:Potential Theory FREE:Differential Geometry |
一般注記 | Conformal geometry -- Modulus and capacity -- Quasiregular mappings -- Boundary behavior 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 HTTP:URL=https://doi.org/10.1007/BFb0077904 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540392071 |
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EB00209903 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA404.7-405 DC23:515.96 |
書誌ID | 4000108859 |
ISBN | 9783540392071 |
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