From divergent power series to analytic functions : theory and application of multisummable power series / / Werner Balser

• Autore: Balser Werner <1946->
• Pubblicazione: Berlin : , : Springer-Verlag, , [1994]; ©1994
• Edizione: 1st ed. 1994.
• Descrizione fisica: 1 online resource (X, 114 p.)
• Disciplina: 515.2432
• Soggetto topico: Power series; Asymptotic expansions; Summability theory
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Asymptotic power series -- Laplace and borel transforms -- Summable power series -- Cauchy-Heine transform -- Acceleration operators -- Multisummable power series -- Some equivalent definitions of multisummability -- Formal solutions to non-linear ODE.
• Sommario/riassunto: Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
• Titolo autorizzato: From divergent power series to analytic functions
• ISBN: 3-540-48594-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466592003316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1582.