Metrical and dynamical aspects in complex analysis
著者
書誌事項
Metrical and dynamical aspects in complex analysis
（Lecture notes in mathematics, 2195）
Springer, c2017
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CEMPI subseries
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注記
"CEMPI Centre Européen pour les Mathématiques, la Physique et leurs interactions"--Facing t.p.
"This is the second volume of the CEMPI subseries"--P. v
Includes bibliographical references
内容説明・目次
内容説明
The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sense of Gromov and operator theory, all very active areas of research. The modern points of view expressed in these notes, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The different topics are treated coherently and include expository presentations of the relevant tools, techniques and objects, which will be particularly useful for graduate and PhD students specializing in the area.
目次
1. Invariant Distances.- 2. Dynamics in Several Complex Variables.- 3. Gromov Hyperbolic Spaces and Applications to Complex Analysis.- 4. Gromov Hyperbolicity of Bounded Convex Domains.- 5. Quasi-conformal Mappings.- 6. Carleson Measures and Toeplitz Operators. References.
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