000 02927nam a22004935i 4500
001 978-3-540-69241-6
003 DE-He213
005 20190213151639.0
007 cr nn 008mamaa
008 121227s1997 gw | s |||| 0|eng d
020 _a9783540692416
_9978-3-540-69241-6
024 7 _a10.1007/BFb0096118
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aPut, Marius van der.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aGalois Theory of Difference Equations
_h[electronic resource] /
_cby Marius van der Put, Michael F. Singer.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1997.
300 _aVIII, 188 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1666
505 0 _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.
520 _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.
650 0 _aGlobal analysis (Mathematics).
650 0 _aAlgebra.
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aAlgebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11000
700 1 _aSinger, Michael F.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662191774
776 0 8 _iPrinted edition:
_z9783540632436
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1666
856 4 0 _uhttps://doi.org/10.1007/BFb0096118
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11403
_d11403