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RSSAlgebraic Analysis of Differential Equations | ||||||||||||||||||||
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| Table of contents Part I. The work of T. Kawai 1. Publications of Professor Takahiro Kawai 2. The work of T. Kawai on hyperfunction theory and microlocal analysis Nobuyuki Tose 3. The work of T. Kawai on hyperfunction theory and microlocal analysis Takashi Aoki 4. The work of T. Kawai on exact WKB analysis Yoshitsugu Takei Part II. Contributed papers 5. 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, Yoshitsugu Takei 6. Regular sequences associated with the Noumi-Yamada equations with a large parameter Takashi Aoki, Naofumi Honda 7. Ghost busting: Making sense of non-Hermitian Hamiltonians Carl M. Bender 8. Vanishing of the logarithmic trace of generalized Szegö projectors Louis Boutet Monvel 9. Nonlinear Stokes phenomena in first or second order differential equations Ovidiu Costin 10. Reconstruction of inclusions for the inverse boundary value problem for non-stationary heat equation Yuki Daido, Hyeonbae Kang, Gen Nakamura 11. Exact WKB analysis near a simple turning point Eric Delabaere 12. The Borel transform Leon Ehrenpreis 13. On the use of Z-transforms in the summation of transseries for partial differential equations Christopher J. Howls 14. Some dynamical aspects of Painlevé VI Katsunori Iwasaki 15. An algebraic representation for correlation functions in integrable spin chains Michio Jimbo 16. Inverse image of D-modules and quasi- Yves Laurent 17. The hypoelliptic Laplacian of J.-M. Bismut Gilles Lebeau 18. Commuting differential operators with regular singularities Toshio Oshima 19. The behaviors of singular solutions of some partial differential equations in the complex domain Sunao ?uchi 20. Observations on the JWKB treatment of the quadratic barrier Hujun Shen, Harris J. Silverstone 21. A role of virtual turning points and new Stokes curves in Stokes geometry of the quantum Hénon map Akira Shudo 22. Spectral instability for non-selfadjoint operators Johannes Sjöstrand 23. Boundary and lens rigidity, tensor tomography and analytic microlocal analysis Plamen Stefanov, Gunther Uhlmann 24. Coupling of two partial differential equations and its application Hidetoshi Tahara 25. Instanton-type formal solutions for the first Painlevé hierarchy Yoshitsugu Takei 26. From exact-WKB toward singular quantum perturbation theory II André Voros 27. WKB analysis and Poincaré theorem for vector fields Masafumi Yoshino | ||||||||||||||||||||
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