Divergent Series, Summability and Resurgence I: Monodromy and Resurgence

by Claude Mitschi and David Sauzin

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. The Riemann-Hilbert problem is discussed from Bolibrukh's point of view.
The second part expounds 1-summability and Ecalle's theory of resurgence under...

• Format: Paperback
• Language: English
• ISBN: 3319287354
• ISBN13: 9783319287355
• Release Date: August 2016
• Publisher: Springer
• Length: 298 Pages
• Weight: 1.00 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"