Divergent series, summability and resurgence: II, Simple and multiple summability
Author:
Series:
Lecture notes in mathematics volume 2154
Publisher:
Springer
Pub. Date:
2016
Language:
English
Description
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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ISBN:
9783319290751
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Grouping Information
Grouped Work ID | 51dba707-a33f-03d6-7d2e-abb4ad714472 |
---|---|
Grouping Title | divergent series summability and resurgence ii simple and multiple summability |
Grouping Author | michele loday richaud |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-05-01 09:47:45AM |
Last Indexed | 2024-05-02 03:32:03AM |
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Loday-Richaud, Michèle
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Loday-Richaud, Michèle
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display_description
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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9783319290751
publishDate
2016
publisher
Springer
recordtype
grouped_work
series
Lecture notes in mathematics
series_with_volume
Lecture notes in mathematics|2154
subject_facet
Divergent series
Sommabilité
Sumabilidad
Summability theory
Séries divergentes
Sommabilité
Sumabilidad
Summability theory
Séries divergentes
title_display
Divergent series, summability and resurgence. : II, Simple and multiple summability
title_full
Divergent series, summability and resurgence. II, Simple and multiple summability / Michèle Loday-Richaud
title_short
Divergent series, summability and resurgence
title_sub
II, Simple and multiple summability
topic_facet
Divergent series
Sommabilité
Sumabilidad
Summability theory
Séries divergentes
Sommabilité
Sumabilidad
Summability theory
Séries divergentes
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