Five 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, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society; [Spain] : , : Real Sociedad Matemática Española, , [2010]; ©2010
• Descrizione fisica: 1 online resource (177 p.)
• Disciplina: 515
• Soggetto topico: Functions of complex variables; Mathematical analysis
• Persona (resp. second.): ContrerasManuel D <1967-> (Contreras Márquez); Díaz-MadrigalSantiago
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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.
• Titolo autorizzato: Five lectures in complex analysis
• ISBN: 0-8218-8204-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910814066903321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society). ; 525 . 0271-4132