Galois Theory of Difference Equations

This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzi...

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Bibliografiske detaljer
Auteurs principaux: Put, Marius van der, 1941-...., mathématicien, Singer, Michael F., 19..-...., mathématicien (Auteur)
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in mathematics 1666
Fag:
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Edition sous un autre format:• Galois theory of difference equations, Marius van der Put, Michael F. Singer, Berlin, Springer, 1997, 1 vol. (VII-178 p.), Lecture notes in mathematics, 3-540-63243-3
• Galois Theory of Difference Equations, Texte imprimé, 9783662191774
Indholdsfortegnelse:
  • Picard-Vessiot rings
  • Algorithms for difference equations
  • The inverse problem for difference equations
  • The ring S of sequences
  • An excursion in positive characteristic
  • Difference modules over
  • Classification and canonical forms
  • Semi-regular difference equations
  • Mild difference equations
  • Examples of equations and galois groups
  • Wild difference equations
  • q-difference equations.