Divergent Series, Summability and Resurgence I: Monodromy and Resurgence

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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 fairly general conditions. It contains numerous examples and presents an ...

Divergent Series, Summability and Resurgence I: Monodromy and Resurgence 2016, Springer

ISBN-13: 9783319287355

2016 edition

Trade paperback

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