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024 7 $a10.1007/BFb0096118
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035   $a(DE-He213)978-3-540-69241-6
035   $a(MiAaPQ)EBC5610894
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035   $a(OCoLC)1079006638
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100   $a20121227d1997      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aGalois Theory of Difference Equations /$fby Marius van der Put, Michael F. Singer
205   $a1st ed. 1997.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1997.
215   $a1 online resource (VIII, 188 p.) 
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1666
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-540-63243-3 
327   $aPicard-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.
330   $aThis book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzinsky and the present work corrects and greatly generalizes their contributions. In addition results are presented concerning the inverse problem in Galois theory, effective computation of Galois groups, algebraic properties of sequences, phenomena in positive characteristics, and q-difference equations. The book is aimed at advanced graduate researchers and researchers.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v1666
606   $aMathematical analysis
606   $aAlgebra
606   $aAnalysis
606   $aAlgebra
615  0$aMathematical analysis.
615  0$aAlgebra.
615 14$aAnalysis.
615 24$aAlgebra.
676   $a512.3
700   $aPut$b Marius van der$f1941-$055727
702   $aSinger$b Michael F.$f1950-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910146290203321
996   $aGalois theory of difference equations$9261823
997   $aUNINA