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.
• Φυσική περιγραφή: VIII, 188 p. online resource.
• ISBN: 9783540692416
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0096118

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 Tritzinsky and the present work corrects and greatly generalizes their contributions. In addition results are presented concerning the inverse problem in Galois theory, effective computation of Galois groups, algebraic properties of sequences, phenomena in positive characteristics, and q-difference equations. The book is aimed at advanced graduate researchers and researchers.