Algebraic Analysis of Differential Equations

Edited by Takashi Aoki (), Hideyuki Majima (), Yoshitsugu Takei () and Nobuyuki Tose ()

in Springer Books from Springer

Date: 2008
ISBN: 978-4-431-73240-2
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Chapters in this book:

The work of T. Kawai on hyperfunction theory and microlocal analysis

Nobuyuki Tose

The work of T. Kawai on hyperfunction theory and microlocal analysis

Takashi Aoki

The work of T. Kawai on exact WKB analysis

Yoshitsugu Takei

Virtual turning points — A gift of microlocal analysis to the exact WKB analysis

Takashi Aoki, Naofumi Honda, Takahiro Kawai, Tatsuya Koike, Yukihiro Nishikawa, Shunsuke Sasaki, Akira Shudo and Yoshitsugu Takei

Regular sequences associated with the Noumi-Yamada equations with a large parameter

Takashi Aoki and Naofumi Honda

Ghost busting: Making sense of non-Hermitian Hamiltonians

Carl M. Bender

Vanishing of the logarithmic trace of generalized Szegö projectors

Louis Boutet de Monvel

Nonlinear Stokes phenomena in first or second order differential equations

Ovidiu Costin

Reconstruction of inclusions for the inverse boundary value problem for non-stationary heat equation

Yuki Daido, Hyeonbae Kang and Gen Nakamura

Exact WKB analysis near a simple turning point

Eric Delabaere

The Borel transform

Leon Ehrenpreis

On the use of Z-transforms in the summation of transseries for partial differential equations

Christopher J. Howls

Some dynamical aspects of Painlevé VI

Katsunori Iwasaki

An algebraic representation for correlation functions in integrable spin chains

Michio Jimbo

Inverse image of D-modules and quasi-b-functions

Yves Laurent

The hypoelliptic Laplacian of J.-M. Bismut

Gilles Lebeau

Commuting differential operators with regular singularities

Toshio Oshima

The behaviors of singular solutions of some partial differential equations in the complex domain

Sunao Ōuchi

Observations on the JWKB treatment of the quadratic barrier

Hujun Shen and Harris J. Silverstone

A role of virtual turning points and new Stokes curves in Stokes geometry of the quantum Hénon map

Akira Shudo

Spectral instability for non-selfadjoint operators

Johannes Sjöstrand

Boundary and lens rigidity, tensor tomography and analytic microlocal analysis

Plamen Stefanov and Gunther Uhlmann

Coupling of two partial differential equations and its application

Hidetoshi Tahara

Instanton-type formal solutions for the first Painlevé hierarchy

Yoshitsugu Takei

From exact-WKB toward singular quantum perturbation theory II

André Voros

WKB analysis and Poincaré theorem for vector fields

Masafumi Yoshino

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DOI: 10.1007/978-4-431-73240-2

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