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Titlebook: Divergent Series, Summability and Resurgence II; Simple and Multiple Michèle Loday-Richaud Book 2016 Springer International Publishing Swi

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书目名称Divergent Series, Summability and Resurgence II
副标题Simple and Multiple
编辑Michèle Loday-Richaud
视频videohttp://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Titlebook: Divergent Series, Summability and Resurgence II; Simple and Multiple  Michèle Loday-Richaud Book 2016 Springer International Publishing Swi
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
doihttps://doi.org/10.1007/978-3-319-29075-1
isbn_softcover978-3-319-29074-4
isbn_ebook978-3-319-29075-1Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2016
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Tangent-to-Identity Diffeomorphisms and the Birkhoff Normalization Theorem, of germs conjugated to the translation to show that the conjugation series is 1-summable. The result is obtained as a consequence of the Ramis-Sibuya theorem jointly with a normalization theorem by Birkhoff and Kimura which we prove.
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Tipps und Tricks für den Sportmedizinerext chapters. These are mostly sheaves on the circle .1 of directions about 0 in .. We reformulate the Borel-Ritt theorem in terms of sheaves. In the second part of the chapter we introduce the Čech cohomology for sheaves of groups, both in the abelian and the non abelian case; and we reformulate th
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https://doi.org/10.1007/978-3-642-18927-2 equations. Only part of the results are proved; otherwise, references to the classical literature are given. We begin by discussing the link between equations, systems and .-modules introducing formal and meromorphic equivalence in each case. We state and discuss the theorem of formal classificatio
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Tipps und Tricks für den Sportmedizineres said . and it aims at being a detailed introduction to the subject. We present four approaches which show up to be equivalent characterizations of .-summable series. With each approach we discuss examples and we attach some applications fitting especially that point of view. The chapter includes
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https://doi.org/10.1007/978-3-642-18927-2o the situation with the example of the Ramis-Sibuya series and we show that this series is .-summable for no . > 0. We expound six different theories of multisummability which extend the theories of .-summability. In most of them we found useful to treat the case when the summability depends on onl
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