Divergent Series, Summability and Resurgence I Monodromy and Resurgence /

Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. Th...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Mitschi, Claude (Autor), Sauzin, David (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, 2153
Temas:
Differential equations.
Sequences (Mathematics).
Difference equations.
Functional equations.
Dynamical systems.
Topological groups.
Lie groups.
Differential Equations.
Sequences, Series, Summability.
Difference and Functional Equations.
Dynamical Systems.
Topological Groups and Lie Groups.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface.-Preface to the three volumes
  • Part I:Monodromy in Linear Differential Equations
  • 1 analytic continuation and monodromy
  • Differential Galois Theory
  • Inverse Problems
  • The Riemann-Hilbert problem
  • Part II: Introduction to 1-Summability and Resurgence
  • 5 Borel-Laplace Summation
  • Resurgent Functions and Alien Calculus
  • the Resurgent Viewpoint on Holomorphic Tangent-to-Identity Germs
  • Acknowledgements
  • Index.

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