Metrical and Dynamical Aspects in Complex Analysis

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 sens...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Blanc-Centi, Léa (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Σειρά:Lecture Notes in Mathematics, 2195
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Metrical and Dynamical Aspects in Complex Analysis  |h [electronic resource] /  |c edited by Léa Blanc-Centi. 
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300 |a XIV, 173 p.  |b online resource. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2195 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Dynamics. 
650 0 |a Ergodic theory. 
650 0 |a Functions of complex variables. 
650 0 |a Hyperbolic geometry. 
650 1 4 |a Mathematics. 
650 2 4 |a Several Complex Variables and Analytic Spaces. 
650 2 4 |a Hyperbolic Geometry. 
650 2 4 |a Dynamical Systems and Ergodic Theory. 
700 1 |a Blanc-Centi, Léa.  |e editor. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783319658360 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2195 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-65837-7  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)