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Divergent Series, Summability and Resurgence II: Simple and Multiple Summability
Paperback
Series: Lecture Notes in Mathematics, Book 2154
ISBN13: 9783319290744
Publisher: Springer Nature
Published: Jun 29 2016
Pages: 272
Weight: 0.93
Height: 0.62 Width: 6.14 Depth: 9.21
Language: English
The volume includes applications, examples and revisits, from a cohomological point of view, the group of tangent-to-identity germs of diffeomorphisms of C studied in volume 1. With a view to applying the theories to solutions of differential equations, a detailed survey of linear ordinary differential equations is provided, which includes Gevrey asymptotic expansions, Newton polygons, index theorems and Sibuya's proof of the meromorphic classification theorem that characterizes the Stokes phenomenon for linear differential equations.
This volume is the second in a series of three, entitled Divergent Series, Summability and Resurgence. It is aimed at graduate students and researchers in mathematics and theoretical physics who are interested in divergent series, Although closely related to the other two volumes, it can be read independently.
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