Algebraic approach to differential equations : bibliotheca Alexandrina, Alexandria, Egypt, 12-24 November 2007

Mixing elementary results and advanced methods, ""Algebraic Approach to Differential Equations"" aims to accustom differential equation specialists to algebraic methods in this area of interest. It presents material from a school organized by The Abdus Salam International Centre for Theoretical Physics (ICTP), the Bibliotheca Alexandrina, and the International Centre for Pure and Applied Mathematics (CIMPA) Cover ......Page 1 Title ......Page 2 Copyright ......Page 5 PREFACE......Page 6 ACKNOWLEDGMENTS......Page 7 CONTENTS......Page 8 D-MODULES IN DIMENSION 1......Page 9 MODULES OVER THE WEYL ALGEBRA......Page 60 GEOMETRY OF CHARACTERISTIC VARIETIES......Page 127 SINGULAR INTEGRALS AND THE STATIONARY PHASE METHODS......Page 144 HYPERGEOMETRIC FUNCTIONS AND HYPERPLANE ARRANGEMENTS......Page 218 BERNSTEIN-SATO POLYNOMIALS AND FUNCTIONAL EQUATIONS......Page 233 DIFFERENTIAL ALGEBRAIC GROUPS......Page 300