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Quasianalytic monogenic solutions of a cohomological equation / / S. Marmi, D. Sauzin



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Autore: Marmi S (Stefano), <1963-> Visualizza persona
Titolo: Quasianalytic monogenic solutions of a cohomological equation / / S. Marmi, D. Sauzin Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2003]
©2003
Descrizione fisica: 1 online resource (98 p.)
Disciplina: 510 s
515/.352
Soggetto topico: Monogenic functions
Small divisors
Quasianalytic functions
Continued fractions
Soggetto genere / forma: Electronic books.
Persona (resp. second.): SauzinD. <1966->
Note generali: "Volume 164, number 780 (second of 5 numbers)."
Nota di bibliografia: Includes bibliographical references (pages 81-83).
Nota di contenuto: ""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Monogenic Properties of the Solutions of the Cohomological Equation""; ""Â2.1. C[sup(1)]â€?holomorphic and C#8734; â€?holomorphic functions""; ""Â2.2. Borel's monogenic functions""; ""Â2.3. Domains of monogenic regularity: The sequence (K[sub(j)])""; ""Â2.4. Monogenic regularity of the solutions""; ""Â2.5. Whitney smoothness of monogenic functions""; ""Chapter 3. Carleman Classes at Diophantine Points""; ""Â3.1. Carleman and Gevrey classes""; ""Â3.2. Gevrey asymptotics at Diophantine points for monogenic functions""
""Â3.3. Borel transform at quadratic irrationals for the fundamental solution""""Â3.4. Deduction of Theorem 3.4 from Theorem 3.5""; ""Â3.5. Proof of Theorem 3.5""; ""Chapter 4. Resummation at Resonances and Constantâ€?Type Points""; ""Â4.1. Asymptotic expansions at resonances""; ""Â4.2. Resurgence of the fundamental solution at resonances""; ""Â4.3. Proof of Theorems 4.2 and 4.3""; ""Â4.4. A property of quasianalyticity at constantâ€?type points""; ""Chapter 5. Conclusions and Applications""; ""Â5.1. Gammel's series""
""Â5.2. An application to the problem of linearization of analytic diffeomorphisms of the circle""""Â5.3. An application to a nonlinear small divisor problem (semiâ€?standard map)""; ""Appendix""; ""ÂA.l. Hadamard's product""; ""ÂA.2. Some elementary properties of the fundamental solution""; ""ÂA.3. Some arithmetical results. Continued fractions""; ""ÂA.4. Proof of Lemma 3.3""; ""ÂA.5. Reminder about Borelâ€?Laplace summation""; ""Bibliography""
Titolo autorizzato: Quasianalytic monogenic solutions of a cohomological equation  Visualizza cluster
ISBN: 1-4704-0378-1
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480010103321
Lo trovi qui: Univ. Federico II
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Serie: Memoirs of the American Mathematical Society ; ; no. 780.