---

＜電子ブック＞
Galois Theory of Difference Equations / by Marius van der Put, Michael F. Singer
(Lecture Notes in Mathematics. ISSN:16179692 ; 1666)

版	1st ed. 1997.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1997
本文言語	英語
大きさ	VIII, 188 p : online resource
著者標目	*Put, Marius van der author Singer, Michael F author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Algebra FREE:Analysis FREE:Algebra
一般注記	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 HTTP:URL=https://doi.org/10.1007/BFb0096118

 類似資料