## Algebraic Analysis of Differential Equations: from Microlocal Analysis to Exponential AsymptoticsT. Aoki, H. Majima, Y. Takei, N. Tose This volume contains 23 articles on algebraic analysis of differential equations and related topics, most of which were presented as papers at the conference "Algebraic Analysis of Differential Equations – from Microlocal Analysis to Exponential Asymptotics" at Kyoto University in 2005. This volume is dedicated to Professor Takahiro Kawai, who is one of the creators of microlocal analysis and who introduced the technique of microlocal analysis into exponential asymptotics. |

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Algebraic Analysis of Differential Equations: from Microlocal Analysis to ... T. Aoki,H. Majima,Y. Takei,N. Tose No preview available - 2010 |

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algebra analytic continuation Aoki assume asymptotic b-function Borel sum Borel transform boundary canonical coefficients complex connection formula constant converges convex corresponding defined Definition Delabaere denote differential operators dynamical eigenvalues exact WKB analysis exists expansion exponential finite Fourier geodesic Hamiltonian Hence Hénon map holomorphic function holonomic systems infinite order instanton-type integral Japan Acad Kashiwara Kawai Kyoto Univ large parameter Lee model Lemma manifold Math Mathematics matrix metric microfunction microlocal analysis neighborhood nonlinear Painlevé equations partial differential equations Phys Poincaré polynomial power series problem Proc proof pseudo-differential pseudo-differential operators quantum real analytic regular sequence relation resp result Riemann–Hilbert correspondence s-injective satisfies Sato simple turning point space Stokes curves Stokes geometry Stokes line Takei Theorem theory Toeplitz transseries unique variables vector field virtual turning points Voros WKB solution Z-transform