书目名称 | Divergent Series, Summability and Resurgence II | 副标题 | Simple and Multiple | 编辑 | Michèle Loday-Richaud | 视频video | http://file.papertrans.cn/283/282069/282069.mp4 | 概述 | 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 l | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | 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 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.. | 出版日期 | Book 2016 | 关键词 | 34M30,40C99,34M03,34M25, 34M40; Divergent power series; Summability; Asymptotics; Linear Ordinary Differ | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-29075-1 | isbn_softcover | 978-3-319-29074-4 | isbn_ebook | 978-3-319-29075-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer International Publishing Switzerland 2016 |
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