---

＜電子ブック＞
Conformal Geometry and Quasiregular Mappings / by Matti Vuorinen
(Lecture Notes in Mathematics. ISSN:16179692 ; 1319)

版	1st ed. 1988.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1988
本文言語	英語
大きさ	XXII, 214 p : online resource
冊子体	Conformal geometry and quasiregular mappings / Matti Vuorinen ; : gw,: us
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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0077904

 類似資料