Algebraic analysis of differential equations : from microlocal analysis to exponential asymptotics : festschrift in honor of Takahiro Kawai
Author(s)
Bibliographic Information
Algebraic analysis of differential equations : from microlocal analysis to exponential asymptotics : festschrift in honor of Takahiro Kawai
Springer, c2008
- : softcover
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Note
Other editors: H. Majima, Y. Takei, N. Tose
Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
Part 1. The work of T. Kawai
Publications of Professor Takahiro Kawai
The work of T. Kawai on hyperfunction theory and microlocal analysis, Part 1 -- Microlocal analysis and differential equations by Nobuyuki Tose
The work of T. Kawai on hyperfunction theory and microlocal analysis, Part 2 -- Operators of infinite order and convolution equations by Takashi Aoki
The work of T. Kawai on exact WKB analysis by Yoshitsugu Takei Part 2. Contributed papers
Virtual turning points -- A gift of microlocal analysis to the exact WKB analysis by Takashi Aoki, Naofumi Honda, Takahiro Kawai, Tatsuya Koike, Yukihiro Nishikawa, Shunsuke Sasaki, Akira Shudo, Yoshitsugu Takei
Regular sequences associated with the Noumi-Yamada equations with a large parameter by Takashi Aoki, Naofumi Honda
Ghost busting: Making sense of non-Hermitian Hamiltonians by Carl M. Bender
Vanishing of the logarithmic trace of generalized Szego projectors by Louis Boutet de Monvel
Nonlinear Stokes phenomena in first or second order differential equations by Ovidiu Costin
Reconstruction of inclusions for the inverse boundary value problem for non-stationary heat equation by Yuki Daido, Hyeonbae Kang, Gen Nakamura
Exact WKB analysis near a simple turning point by Eric Delabaere
The Borel transform by Leon Ehrenpreis
On the use of Z-transforms in the summation of transseries for partial differential equations by Christopher J. Howls
Some dynamical aspects of Painleve VI by Katsunori Iwasaki
An algebraic representation for correlation functions in integrable spin chains by Michio Jimbo
Inverse image of D-modules and quasi-b-functions by Yves Laurent
The hypoelliptic Laplacian of J.-M. Bismut by Gilles Lebeau
Commuting differential operators with regular siongularities by Toshio Oshima
The behaviors of singular solutions of some partial differential equations in the complex domain by Sunao Ouchi
Observations on the JWKB treatment of the quadratic barrier by Hujun Shen, Harris J. Silverstone
A role of virtual turning points and new Stokes curves in Stokes geometry of the quantum Henon map by Akira Shudo
Spectral instability for non-selfadjoint operators by Johannes Sjostrand
Bondary and lens rigidity, tensor tomography and analytic microlocal analysis by Plamen Stefanov, Gunther Uhlmann
Coupling of two partial differential equations and its application by Hidetoshi Tahara
Instanton-type formal solutions for the first Painleve hierarchy by Yoshitsugu Takei
From exact-WKB toward singular quantum perturbation theory II by Andre Voros
WKB analysis and Poincare theorem for vector fields by Masafumi Yoshino
by "Nielsen BookData"
