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Metrical and Dynamical Aspects in Complex Analysis
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Details
Dewey Class
515.94
Titel
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)
Veröffentl
Cham : Springer International Publishing : Imprint: Springer , 2017.
Physical Details
XIV, 173 p : online resource.
Reihe
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)
Internet Site
http://dx.doi.org/10.1007/978-3-319-65837-7
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Schlagwörter:
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Dynamical systems and ergodic theory
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Dynamics
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Ergodic theory
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Functions of complex variables
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Hyperbolic Geometry
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Mathematics
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Several Complex Variables and Analytic Spaces
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Authors:
Blanc-Centi, L?
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SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515.94
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