03041nam 2200589 450 991078863320332120220823041829.00-8218-8204-X(CKB)3240000000070048(EBL)3113220(SSID)ssj0000629305(PQKBManifestationID)11437677(PQKBTitleCode)TC0000629305(PQKBWorkID)10730325(PQKB)10569376(MiAaPQ)EBC3113220(RPAM)16190497(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,5250271-4132Description 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 - Toeplitz operators -- Two applications of the Bergman spaces techniques.Contemporary mathematics (American Mathematical Society).5250271-4132Functions of complex variablesCongressesMathematical analysisCongressesFunctions 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 TheoryMiAaPQMiAaPQMiAaPQBOOK9910788633203321Five lectures in complex analysis766710UNINA