Overview
- Provides a thorough discussion and comparison of the theories of k-summability and multisummability
- Can be treated both as a reference book and as a tutorial on the theories of summability and their links to the formal and local analytic aspects of linear ordinary differential equations
- Includes a discussion of the linear Stokes phenomenon
- The theories are illustrated with many examples and over 70 color figures
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2154)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Divergent Series, Summability and Resurgence II
Book Subtitle: Simple and Multiple Summability
Authors: Michèle Loday-Richaud
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-29075-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-29074-4Published: 29 June 2016
eBook ISBN: 978-3-319-29075-1Published: 28 June 2016
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XXIII, 272
Number of Illustrations: 64 illustrations in colour
Topics: Sequences, Series, Summability, Ordinary Differential Equations, Difference and Functional Equations, Dynamical Systems and Ergodic Theory