Divergent Series, Summability and Resurgence I Monodromy and Resurgence /

• Κύριοι συγγραφείς: Mitschi, Claude (Συγγραφέας), Sauzin, David (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Lecture Notes in Mathematics, 2153
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Difference equations.; Functional equations.; Dynamics.; Ergodic theory.; Differential equations.; Sequences (Mathematics).; Ordinary Differential Equations.; Sequences, Series, Summability.; Difference and Functional Equations.; Dynamical Systems and Ergodic Theory.; Topological Groups, Lie Groups.

Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. Th...

Πίνακας περιεχομένων:

• Preface.-Preface to the three volumes
• Part I:Monodromy in Linear Differential Equations
• 1 analytic continuation and monodromy
• Differential Galois Theory
• Inverse Problems
• The Riemann-Hilbert problem
• Part II: Introduction to 1-Summability and Resurgence
• 5 Borel-Laplace Summation
• Resurgent Functions and Alien Calculus
• the Resurgent Viewpoint on Holomorphic Tangent-to-Identity Germs
• Acknowledgements
• Index.