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- catalog abstract "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.".
- catalog contributor b10542901.
- catalog contributor b10542902.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Introduction -- Algebraic Theory,- Picard-Vessiot Rings -- Algorithms for Difference Equation -- The Inverse Problem for Difference Equations -- The Ring S of Sequences -- An Excursion in Positive Characteristic -- Difference Modules over P -- Classification and Canonical Forms -- Semi-regular Difference Equations -- Mild Difference Equations -- Examples of Equations and Galois Groups -- Wild Difference Equations -- q-Difference Equations -- Bibliography -- Index -- Notations.".
- catalog description "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.".
- catalog extent "vii, 178 p. ;".
- catalog hasFormat "Galois theory of difference equations.".
- catalog identifier "3540632433".
- catalog isFormatOf "Galois theory of difference equations.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1666".
- catalog isPartOf "Lecture notes in mathematics ; 1666".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Galois theory of difference equations.".
- catalog subject "510 s 516.3/52 21".
- catalog subject "Algebra.".
- catalog subject "Difference equations.".
- catalog subject "Galois theory.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1666 QA431".
- catalog tableOfContents "Introduction -- Algebraic Theory,- Picard-Vessiot Rings -- Algorithms for Difference Equation -- The Inverse Problem for Difference Equations -- The Ring S of Sequences -- An Excursion in Positive Characteristic -- Difference Modules over P -- Classification and Canonical Forms -- Semi-regular Difference Equations -- Mild Difference Equations -- Examples of Equations and Galois Groups -- Wild Difference Equations -- q-Difference Equations -- Bibliography -- Index -- Notations.".
- catalog title "Galois theory of difference equations / Marius van der Put, Michael F. Singer.".
- catalog type "text".