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Titolo: | 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 |
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