Galois Theory of 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 Tritzi...

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Detalles Bibliográficos
Auteurs principaux: Put, Marius van der, 1941-...., mathématicien, Singer, Michael F., 19..-...., mathématicien (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Series:Lecture notes in mathematics 1666
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Edition sous un autre format:• Galois theory of difference equations, Marius van der Put, Michael F. Singer, Berlin, Springer, 1997, 1 vol. (VII-178 p.), Lecture notes in mathematics, 3-540-63243-3
• Galois Theory of Difference Equations, Texte imprimé, 9783662191774
Descripción
Résumé: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.
descrición da copia:Archives Springer e-books (Licence nationale)
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ISBN:9783540692416 (PDF)
ISSN:1617-9692
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