CONTENTS

1. A phase integral approach to irrationality : This article is dedicated to Professor T. Aoki in celebration of his 60th birthday (Exponential Analysis of Differential Equations and Related Topics)---1

　　　　Institute for Quantum Studies, Chapman University / Schmid College of Science and Technology, Chapman University　　　Napoletani,Domenico / Struppa,Daniele C.

　

2. On the geometric aspect of Sato's postulates on the $S$-matrix : Dedicated to Professor Takashi Aoki on his sixtieth birthday, who has been effectively employing a computer in the exact WKB analysis (Exponential Analysis of Differential Equations and Related Topics)---11

　　　　Department of Mathematics, Faculty of Science, Hokkaido University / Research Institute for Mathematical Sciences, Kyoto University / Lawrence Berkeley National Laboratory, University of California　　　Honda,Naofumi / Kawai,Takahiro / Stapp,Henry P.

　

3. On the computation of Voros coefficients via middle convolutions : Dedicated to Professor T.Aoki on his 60th birthday (Exponential Analysis of Differential Equations and Related Topics)---55

　　　　RIMS, Kyoto University / Department of Mathematics, Graduate School of Science, Kobe University　　　Iwaki,Kohei / Koike,Tatsuya

　

4. On the WKB theoretic structure of a Schrodinger operator with a Stokes curve of loop type : Dedicated to Professor T. Aoki on his 60th birthday (Exponential Analysis of Differential Equations and Related Topics)---71

　　　　Interdisciplinary Graduate School of Science and Engineering, Kinki University　　　Takahashi,Toshinori

　

5. An inversion formula of Schapira type for topological Radon transforms of definable functions (Exponential Analysis of Differential Equations and Related Topics)---85

　　　　Department of Mathematics, Kinki University　　　Matsui,Yutaka

　

6. Paperfolding and modular functions : Dedicated to Professor Takashi Aoki on the occasion of his 60th birthday (Exponential Analysis of Differential Equations and Related Topics)---97

　　　　Institut de Mathematiques de Bordeaux, Universite Bordeaux　　　Sebbar,Ahmed

　

7. Resurgent functions and linear differential operators of infinite order : Their happy marriage in exact WKB analysis (Exponential Analysis of Differential Equations and Related Topics)---127

　　　　RIMS, Kyoto University / RIMS, Kyoto University / Department of Mathematics, Graduate School of Science, Kobe University　　　Kamimoto,Shingo / Kawai,Takahiro / Koike,Tatsuya

　

8. Zeta functions over zeros of Zeta functions and an exponential-asymptotic view of the Riemann Hypothesis : dedicated to Professor Takashi AOKI for his 60th birthday (Exponential Analysis of Differential Equations and Related Topics)---147

　　　　Institut de Physique Theorique, CEA-Saclay　　　Voros,Andre

　

9. Exact WKB analysis of confluent hypergeometric differential equations with a large parameter (Exponential Analysis of Differential Equations and Related Topics)---165

　　　　Department of Mathematics, School of Science and Engineering, Kinki University / Interdisciplinary Graduate School of Science and Engineering, Kinki University / Interdisciplinary Graduate School of Science and Engineering, Kinki University　　　Aoki,Takashi / Takahashi,Toshinori / Tanda,Mika

　

10. On b-functions and algebraic local cohomology classes attached to hypersurfaces with line singularities : Dedicated to Professor Takashi Aoki on the occasion of his sixtieth birthday (Exponential Analysis of Differential Equations and Related Topics)---175

　　　　Institute of Mathematics, University of Tsukuba　　　Tajima,Shinichi

　

11. Kernel functions and symbols of pseudodifferential operators of infinite order with an apparent parameter (Exponential Analysis of Differential Equations and Related Topics)---193

　　　　Department of Mathematics, Kinki University / Department of Mathematics, Faculty of Science, Hokkaido University / Department of General Education, College of Science and Technology, Nihon University　　　Aoki,Takashi / Honda,Naofumi / Yamazaki,Susumu

　

12. On the sheaf of Laplace hyperfunctions in several variables : Dedicated to Professor Takashi Aoki on his sixtieth birthday (Exponential Analysis of Differential Equations and Related Topics)---213

　　　　Department of Mathematics, Hokkaido University / Department of Mathematics, Hokkaido University　　　Honda,Naofumi / Umeta,Kohei

　

13. Analytic extension of Birkhoff normal forms for Hamiltonian systems of one degree of freedom : Simple pendulum and free rigid body dynamics (Exponential Analysis of Differential Equations and Related Topics)---219

　　　　Department of Mathematics, Kyoto University / Laboratoire Jacque-Louis Lions, Universite Pierre-Marie Curie　　　Tarama,Daisuke / Francoise,Jean-Pierre

　

14. Summability of formal solutions to partial differential equations : To Professor T. Aoki on the occasion of his 60th birthday (Exponential Analysis of Differential Equations and Related Topics)---237

　　　　Institute of Mathematics, Polish Academy of Sciences　　　Lysik,Grzegorz

　

15. Semi-formal solution and monodromy of some confluent hypergeometric equations : Dedicated to Professor Takashi AOKI for his sixtieth birthday (Exponential Analysis of Differential Equations and Related Topics)---255

　　　　Department of Mathematics, Hiroshima University　　　Yoshino,Masafumi

　

16. The Stokes geometry of the quantum Henon map in the horseshoe regime : Dedicated to Professor Takashi Aoki on the occasion of his 60th birthday (Exponential Analysis of Differential Equations and Related Topics)---263

　　　　Department of Physics, Tokyo Metropolitan University　　　Shudo,Akira

　

17. Multiple-scale analysis for some class of systems of non-linear differential equations : Dedicated to Professor Takashi Aoki on his sixtieth birthday (Exponential Analysis of Differential Equations and Related Topics)---283

　　　　Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science　　　Umeta,Yoko

　

18. On the fourth order PI equation and coalescing phenomena of nonlinear turning points : Dedicated to Professor Takashi AOKI for his sixtieth birthday (Exponential Analysis of Differential Equations and Related Topics)---301

　　　　RIMS, Kyoto University　　　Takei,Yoshitsugu