03079nam 2200601 450 991047998120332120180731043608.00-8218-8204-X(CKB)3240000000070048(EBL)3113220(SSID)ssj0000629305(PQKBManifestationID)11437677(PQKBTitleCode)TC0000629305(PQKBWorkID)10730325(PQKB)10569376(MiAaPQ)EBC3113220(PPN)197108547(EXLCZ)99324000000007004820100416h20102010 uy| 0engur|n|---|||||txtccrFive lectures in complex analysis second Winter School on Complex Analysis and Operator Theory, February 5-9, 2008, University of Sevilla, Sevilla, Spain /Manuel D. Contreras, Santiago Díaz-Madrigal, editorsProvidence, Rhode Island :American Mathematical Society ;[Spain] :Real Sociedad Matemática Española,[2010]©20101 online resource (177 p.)Contemporary mathematics ;volume 525Description based upon print version of record.0-8218-4809-7 Includes bibliographical references.""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""""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 â?¡ Toeplitz operators""; ""Two applications of the Bergman spaces techniques""Contemporary mathematics (American Mathematical Society) ;vol. 525.Functions of complex variablesCongressesMathematical analysisCongressesElectronic books.Functions of complex variablesMathematical analysis515Contreras Manuel D(Contreras Márquez),1967-Díaz-Madrigal SantiagoAmerican Mathematical Society,Real Sociedad Matemática Española,Winter School on Complex Analysis and Operator TheoryMiAaPQMiAaPQMiAaPQBOOK9910479981203321Five lectures in complex analysis766710UNINA