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Analytic, Algebraic and Geometric Aspects of Differential Equations

Będlewo, Poland, September 2015

  • Galina Filipuk
  • Yoshishige Haraoka
  • Sławomir Michalik

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Lecture Notes

    1. Front Matter
      Pages 1-1
    2. Yoshishige Haraoka
      Pages 59-87
  3. Research Papers

About these proceedings

Introduction

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.

Keywords

WKB analysis and Stokes geometry of differential equations Dunkl theory, special functions sub-Riemannian geometry and sub-elliptic operators holonomic systems ODEs in the complex plane holomorphic vector fields, normal forms summability of formal solutions of difference equations integrable systems with applications to mathematical physics formal solutions of PDEs Gevrey estimates asymptotic expansions

Editors and affiliations

  • Galina Filipuk
    • 1
  • Yoshishige Haraoka
    • 2
  • Sławomir Michalik
    • 3
  1. 1.Faculty of Mathematics, Informatics and MechanicsUniversity of WarsawWarsawPoland
  2. 2.Kumamoto UniversityKumamotoJapan
  3. 3.Faculty of Mathematics and Natural SciencesCardinal Stefan Wyszynski UniversityWarsawPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-52842-7
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-52841-0
  • Online ISBN 978-3-319-52842-7
  • Series Print ISSN 2297-0215
  • Series Online ISSN 2297-024X
  • Buy this book on publisher's site