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Titlebook: Divergent Series, Summability and Resurgence I; Monodromy and Resurg Claude Mitschi,David Sauzin Book 2016 Springer International Publishin

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发表于 2025-3-21 19:16:09 | 显示全部楼层 |阅读模式
书目名称Divergent Series, Summability and Resurgence I
副标题Monodromy and Resurg
编辑Claude Mitschi,David Sauzin
视频video
概述Features an elementary, self-contained introduction to analytic differential Galois theory and the Riemann-Hilbert problem.Provides a foundation that will allow the reader to independently explore and
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Divergent Series, Summability and Resurgence I; Monodromy and Resurg Claude Mitschi,David Sauzin Book 2016 Springer International Publishin
描述Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. . The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. . The first of a series of three, entitled .Divergent Series, Summability and Resurgence., this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra..
出版日期Book 2016
关键词34M30,30E15,30B40,34M03,34M40,37F10,34M35; Divergent series; Resurgence; Riemann-Hilbert problem; Differ
版次1
doihttps://doi.org/10.1007/978-3-319-28736-2
isbn_softcover978-3-319-28735-5
isbn_ebook978-3-319-28736-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2016
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发表于 2025-3-21 23:39:37 | 显示全部楼层
0075-8434 tion that will allow the reader to independently explore andProviding an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular poin
发表于 2025-3-22 03:52:30 | 显示全部楼层
Book 2016sted in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra..
发表于 2025-3-22 07:23:06 | 显示全部楼层
0075-8434 s useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra..978-3-319-28735-5978-3-319-28736-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Analytic continuation and monodromy analytic continuation, which are briefly presented in this chapter. For general results in complex analysis and differential equations, we refer to any of the books [Ahl79], [Cha90], [CoLe55], [Ha64], [In56], [JS87], [La61], [NN01], [Ru86].
发表于 2025-3-23 00:32:58 | 显示全部楼层
The Resurgent Viewpoint on Holomorphic Tangent-to-Identity Germslocal dynamics (describing the local structure of the orbits of the discrete dynamical system induced by a given germ) and the description of the conjugacy classes (attaching to a given germ quantities which characterize its analytic conjugacy class).
发表于 2025-3-23 02:36:20 | 显示全部楼层
B. C. Heinz,H. Piechota,M. Waldner,S. Roth analytic continuation, which are briefly presented in this chapter. For general results in complex analysis and differential equations, we refer to any of the books [Ahl79], [Cha90], [CoLe55], [Ha64], [In56], [JS87], [La61], [NN01], [Ru86].
发表于 2025-3-23 09:17:59 | 显示全部楼层
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