Galois Theory of Difference Equations

Marius van der Put, Michael F. Singer (Autoren)

Buch | Softcover

VIII, 188 Seiten

1997 | 1997
Springer Berlin (Verlag)
978-3-540-63243-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	18.9.1997
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 188 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	294 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Algebra • connection matrices • Difference Equations • Differenzialgleichungen • Galois-Theorie • Galois Theory • multisummation
ISBN-10	3-540-63243-3 / 3540632433
ISBN-13	978-3-540-63243-6 / 9783540632436
Zustand	Neuware