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Metrical and dynamical aspects in complex analysis

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Metrical and dynamical aspects in complex analysis/ edited by Lea Blanc-Centi.
other author:	Blanc-Centi, Lea.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xiv, 173 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Complex manifolds. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-65837-7
ISBN:	9783319658377

Metrical and dynamical aspects in complex analysis
Metrical and dynamical aspects in complex analysis[electronic resource] /edited by Lea Blanc-Centi. - Cham :Springer International Publishing :2017. - xiv, 173 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21950075-8434 ;. - Lecture notes in mathematics ;1943..

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.

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.

ISBN: 9783319658377

Standard No.: 10.1007/978-3-319-65837-7doiSubjects--Topical Terms:

676705
Complex manifolds.

LC Class. No.: QA331

Dewey Class. No.: 515.946

Metrical and dynamical aspects in complex analysis
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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.
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650 2 4 $a Hyperbolic Geometry. $3 1069789
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
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