Divergent Series, Summability and Resurgence II Simple and Multiple Summability /

Addressing the question how to "sum" a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Loday-Richaud, Michèle (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Lecture Notes in Mathematics, 2154
Temas:
Sequences (Mathematics).
Differential equations.
Difference equations.
Functional equations.
Dynamical systems.
Sequences, Series, Summability.
Differential Equations.
Difference and Functional Equations.
Dynamical Systems.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Avant-propos
  • Preface to the three volumes
  • Introduction to this volume
  • 1 Asymptotic Expansions in the Complex Domain
  • 2 Sheaves and Čech cohomology
  • 3 Linear Ordinary Differential Equations
  • 4 Irregularity and Gevrey Index Theorems
  • 5 Four Equivalent Approaches to k-Summability
  • 6 Tangent-to-Identity Diffeomorphisms
  • 7 Six Equivalent Approaches to Multisummability
  • Exercises
  • Solutions to Exercises
  • Index
  • Glossary of Notations
  • References.

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