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

• Autore: Marmi S (Stefano), <1963->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2003]; ©2003
• Descrizione fisica: 1 online resource (vi, 83 p.)
• Disciplina: 510 s; 515/.352
• Soggetto topico: Monogenic functions; Small divisors; Quasianalytic functions; Continued fractions
• 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
• ISBN: 1-4704-0378-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788849903321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 780.