<電子ブック>
Analytic, Algebraic and Geometric Aspects of Differential Equations : Będlewo, Poland, September 2015 / edited by Galina Filipuk, Yoshishige Haraoka, Sławomir Michalik
(Trends in Mathematics. ISSN:2297024X)
版 | 1st ed. 2017. |
---|---|
出版者 | Cham : Springer International Publishing : Imprint: Birkhäuser |
出版年 | 2017 |
大きさ | VIII, 471 p. 32 illus., 14 illus. in color : online resource |
著者標目 | Filipuk, Galina editor Haraoka, Yoshishige editor Michalik, Sławomir editor SpringerLink (Online service) |
件 名 | LCSH:Differential equations LCSH:Geometry, Differential LCSH:Mathematical physics LCSH:Number theory FREE:Differential Equations FREE:Differential Geometry FREE:Mathematical Physics FREE:Number Theory |
一般注記 | Preface -- An introduction to Dunkl theory and its analytic aspects -- Holonomic Systems -- Sub-Riemannian geometry and hypoelliptic operators -- Asymptotic analysis and summability of formal power series -- WKB analysis and Stokes geometry of differential equations -- Transcendental Meromorphic Solutions of P34 and Small Targets -- Towards the convergence of generalized power series solutions of algebraic ODEs -- Connection problem for regular holonomic systems in several variables -- On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients -- On Stokes phenomena for the alternate discrete PI equation -- Flat structures and algebraic solutions to Painlevé VI equation -- Relation of Semi-classical orthogonal polynomials to General Schlesinger systems via Twistor theory -- Some notes on the multi-level Gevrey solutions of singularly perturbed linear partial differential equations -- Reducibility of hypergeometric equations -- Parametric Borel summability of partial differential equations of irregular singular type This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics. The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers. It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques HTTP:URL=https://doi.org/10.1007/978-3-319-52842-7 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783319528427 |
|
電子リソース |
|
EB00201475 |
類似資料
この資料の利用統計
このページへのアクセス回数:5回
※2017年9月4日以降