Galois Theory of Difference Equations

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	1997
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Lecture Notes in Mathematics
Inhalt:	Einband - flex.(Paperback)
ISBN-13:	9783540632436
ISBN-10:	3540632433
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Put, Marius Van Der Singer, Michael F.
Hersteller:	Springer Springer Vieweg Springer-Verlag GmbH Lecture Notes in Mathematics
Verantwortliche Person für die EU:	Springer Nature Customer Service Center GmbH, Europaplatz 3, D-69115 Heidelberg, productsafety@springernature.com
Maße:	235 x 155 x 11 mm
Von/Mit:	Marius Van Der Put (u. a.)
Erscheinungsdatum:	18.09.1997
Gewicht:	0,306 kg