02943nam 2200625 450 99646658970331620220304003122.03-540-69241-X10.1007/BFb0096118(CKB)1000000000437347(SSID)ssj0000323419(PQKBManifestationID)12125907(PQKBTitleCode)TC0000323419(PQKBWorkID)10312577(PQKB)11499349(DE-He213)978-3-540-69241-6(MiAaPQ)EBC5610894(Au-PeEL)EBL5610894(OCoLC)1079006638(MiAaPQ)EBC6842761(Au-PeEL)EBL6842761(OCoLC)1292353571(PPN)155196170(EXLCZ)99100000000043734720220304d1997 uy 0engurnn|008mamaatxtccrGalois theory of difference equations /Marius van der Put, Michael F. Singer1st ed. 1997.Berlin, Germany ;New York, New York :Springer-Verlag,[1997]©19971 online resource (VIII, 188 p.) Lecture Notes in Mathematics,0075-8434 ;1666Bibliographic Level Mode of Issuance: Monograph3-540-63243-3 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.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.Lecture Notes in Mathematics,0075-8434 ;1666Difference equationsGalois theoryDifference equations.Galois theory.512.3Put Marius van der1941-55727Singer Michael F.1950-MiAaPQMiAaPQMiAaPQBOOK996466589703316Galois theory of difference equations261823UNISA