Galois Theory of Difference Equations

• Κύριοι συγγραφείς: Put, Marius van der (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Singer, Michael F. (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Έκδοση: 1st ed. 1997.
• Σειρά: Lecture Notes in Mathematics, 1666
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.