Galois theory of difference equations
By: Marius van der Put, Michael F. Singer.
Contributors: Singer, Michael F., 1950-
Series: Lecture notes in mathematics,; 1666; Lecture notes in mathematics (Springer-Verlag) ;; 1666.
Publisher: Springer
Published: 1997
Place of publication: Berlin; New York
Language: eng
Number of pages: 178
Subjects: Difference equations.; Galois theory.
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.
Notes: Includes bibliographical references (p. [175]-178) and index.