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020 _a9783319658377
_9978-3-319-65837-7
024 7 _a10.1007/978-3-319-65837-7
_2doi
050 4 _aQA331.7
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKD
_2thema
082 0 4 _a515.94
_223
245 1 0 _aMetrical and Dynamical Aspects in Complex Analysis
_h[electronic resource] /
_cedited by Léa Blanc-Centi.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXIV, 173 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2195
505 0 _a1. 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 _aThe 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 _aFunctions of complex variables.
650 0 _aHyperbolic geometry.
650 0 _aDynamics.
650 0 _aErgodic theory.
650 1 4 _aSeveral Complex Variables and Analytic Spaces.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12198
650 2 4 _aHyperbolic Geometry.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M21030
650 2 4 _aDynamical Systems and Ergodic Theory.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
700 1 _aBlanc-Centi, Léa.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319658360
776 0 8 _iPrinted edition:
_z9783319658384
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2195
856 4 0 _uhttps://doi.org/10.1007/978-3-319-65837-7
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-LNM
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999 _c58487
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