Galois Theory of Difference Equations

• Main Authors: Put, Marius van der (Author, http://id.loc.gov/vocabulary/relators/aut), Singer, Michael F. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1666
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Algebra.; Analysis.

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...

Table of Contents:

• 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.