Analytic, Algebraic and Geometric Aspects of Differential Equations Będlewo, Poland, September 2015 /
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...
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| Other Authors: | , , |
| Language: | English |
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Cham :
Springer International Publishing : Imprint: Birkhäuser,
2017.
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| Edition: | 1st ed. 2017. |
| Series: | Trends in Mathematics,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-52842-7 |
Table of Contents:
- 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.