Hidden Bibliographic Details
| Varying Form of Title: | Simple and multiple summability
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| ISBN: | 9783319290751
3319290754
9783319290744
3319290746
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| Notes: | Includes bibliographical references and index.
Foreword in French.
Online resource; title from PDF title page (SpringerLink, viewed July 8, 2016).
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| Summary: | Addressing the question how to "sum" a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all solutions of ordinary differential equations. 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 of 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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| Other form: | Print version: Loday-Richaud, Michèle. Divergent series, summability and resurgence. II, Simple and multiple summability. Switzerland : Springer, 2016 3319290746 9783319290744
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| Standard no.: | 10.1007/978-3-319-29075-1
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