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200 10$aFive lectures in complex analysis $esecond Winter School on Complex Analysis and Operator Theory, February 5-9, 2008, University of Sevilla, Sevilla, Spain /$fManuel D. Contreras, Santiago Di?az-Madrigal, editors
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society ;$a[Spain] :$cReal Sociedad Matema?tica Espan?ola,$d[2010]
210  4$d©2010
215   $a1 online resource (177 p.)
225 1 $aContemporary mathematics ;$vvolume 525
300   $aDescription based upon print version of record.
311   $a0-8218-4809-7 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Preface""; ""Local holomorphic dynamics of diffeomorphisms in dimension one""; ""Prologue""; ""1. Formal Normal Forms""; ""Germs of formal diffeomorphisms""; ""Homological equation, resonances and the non-parabolic case""; ""Formal normal forms in the parabolic case""; ""Germs of vector fields and flows: the formal classification revised""; ""2. Holomorphic Dynamics""; ""The hyperbolic case""; ""The elliptic case: Cremer, Siegel diffeomorphisms and small divisors""; ""The parabolic case: the Leau-Fatou flowers theorem""
327   $a""2. Hyperbolic Geometry""""3. Other metrics in complex analysis and potential theory""; ""4. CAT(k) and related curvature conditions""; ""5. Gromov hyperbolicity""; ""6. Appendix: terminology of metric geometry""; ""References""; ""Virasoro algebra and dynamics in the space of univalent functions""; ""Composition operators a??¡ Toeplitz operators""; ""Two applications of the Bergman spaces techniques""
410  0$aContemporary mathematics (American Mathematical Society) ;$vvol. 525.
606   $aFunctions of complex variables$vCongresses
606   $aMathematical analysis$vCongresses
608   $aElectronic books.
615  0$aFunctions of complex variables
615  0$aMathematical analysis
676   $a515
702   $aContreras$b Manuel D$g(Contreras Ma?rquez),$f1967-
702   $aDi?az-Madrigal$b Santiago
712 02$aAmerican Mathematical Society,
712 02$aReal Sociedad Matema?tica Espan?ola,
712 12$aWinter School on Complex Analysis and Operator Theory
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910479981203321
996   $aFive lectures in complex analysis$9766710
997   $aUNINA