Lecture Notes in Mathematics

Put, Marius van der; Singer, Michael F.

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.

Details

Published by: Springer

Publication Date: 1997-09-18

Format: Paperback

ISBN-13: 9783540632436

DOI: 10.1007/BFb0096118

Dimensions: 235cm x155cm

Pages: 188