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Record Nr. |
UNINA9910479981203321 |
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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 ; ; volume 525 |
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Disciplina |
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Soggetti |
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Functions of complex variables |
Mathematical analysis |
Electronic books. |
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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 â?¡ Toeplitz operators""; ""Two applications of the Bergman spaces techniques"" |
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