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Record Nr. |
UNINA9910788633203321 |
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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 |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society |
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[Spain] : , : Real Sociedad Matemática Española, , [2010] |
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©2010 |
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ISBN |
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Descrizione fisica |
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1 online resource (177 p.) |
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Collana |
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Contemporary mathematics, ; 525 , 0271-4132 |
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Disciplina |
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Soggetti |
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Functions of complex variables |
Mathematical analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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. |
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