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Metrical and Dynamical Aspects in Complex Analysis

Metrical and Dynamical Aspects in Complex Analysis
Catalogue Information
Field name Details
Dewey Class 515.94
Title Metrical and Dynamical Aspects in Complex Analysis ([EBook]) / edited by L? Blanc-Centi.
Added Personal Name Blanc-Centi, L? editor.
Other name(s) SpringerLink (Online service)
Publication Cham : Springer International Publishing : Imprint: Springer , 2017.
Physical Details XIV, 173 p : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; 2195
ISBN 9783319658377
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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