No.983

1996/07/01〜1996/07/04

戸瀬 信之

Nobuyuki Tose

目　次

1. The Functorial Construction of the Sheaf of Small 2-microfunctions----------------------------------------------------------------1

　　　　Graduate School of Mathematical Sciences, The University of Tokyo　　　船越 正太　(FUNAKOSHI, SHOTA)

　

2. Polytopes, Invariants, and PDEs--------------------------------------------------------------------------------------------------14

　　　　Department of Mathematical Sciences, The University of Tokyo　　　岩崎 克則　(IWASAKI, KATSUNORI)

　

3. Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains--------------------------------------------------22

　　　　Univ. of Tokyo　　　KAMIMOTO, Joe

　

4. Laplace tranform and Fourier-Sato transform--------------------------------------------------------------------------------------33

　　　　RIMS, Kyoto University / Institut de Mathematiques, Analyse Algebrique, Universite Pierre et Marie Curie　　　KASHIWARA, MASAKI / SCHAPIRA, PIERRE

　

5. Asymptotic behavior of perturbation series of eigenvalues for anharmonic oscillators.--------------------------------------------36

　　　　京都大学数理解析研究所　　　小池 達也

　

6. TOEPLITZ OPERATORS IN THE ANALYTIC GOURSAT PROBLEM-------------------------------------------------------------------------------47

　　　　名古屋大学多元数理科学研究科　　　三宅 正武　(MIYAKE, MASATAKE)

　

7. Regularity of solutions to characteristic initial boundary value problem for symmetric systems-----------------------------------60

　　　　大阪大学理学部 / 大阪大学理学部　　　西谷 達雄 / 高山 正宏　(Nishitani, Tatsuo / Takayama, Masahiro)

　

8. THE EXISTENCE AND THE CONTINUATION OF HOLOMORPHIC SOLUTIONS FOR CONVOLUTION EQUATIONS IN A HALF-SPACE IN $C^n$-------------------70

　　　　Department of Mathematics and Informatics, Institute of Science and Technology, Chiba University　　　OKADA, JUN-ICHI

　

9. DIFFERENTIABLE SINGULARITIES OF SOLUTIONS OF MICRODIFFERENTIAL EQUATIONS WITH DOUBLE INVOLUTIVE CHARACTERISTICS------------------76

　　　　DEPARTMENT OF MATHEMATICS AND INFORMATICS, FACULTY OF SCIENCE, CHIBA UNIVERSITY　　　OKADA, YASUNORI

　

10. Algorithms for $b$-functions, restrictions, and algebraic local cohomology groups of $D$-modules--------------------------------86

　　　　横浜市立大学理学部　　　大阿久 俊則　(Oaku, Toshinori)

　

11. SYSTEM OF DIFFERENTIAL EQUATIONS ON THE BOUNDED SYMMETRIC DOMAIN OF AIII TYPE AND THE PENROSE TRANSFORM------------------------106

　　　　神戸大学理学部　　　関口 英子　(SEKIGUCHI, HIDEKO)

　

12. A REMARK ON THE ASYMPTOTIC PROPERTIES OF EIGENVALUES OF ELLIPTIC OPERATORS ON $T^n$--------------------------------------------121

　　　　大阪大学大学院理学研究科数学専攻　　　杉本 充　(SUGIMOTO, MITSURU)

　

13. Formal power series solutions of non-linear partial differential equations of the first order----------------------------------133

　　　　Department of Mathematics, Sophia University　　　TAHARA, Hidetoshi

　

14. A method of desingularization for the study of operators with multiple characteristics-----------------------------------------142

　　　　広島大学理学部 / 東京大学数理科学研究科　　　竹内 潔 / 小清水 寛　(Takeuchi, Kiyoshi / Koshimizu, Hiroshi)

　

15. A Remark on Finiteness and Duality of D-Modules--------------------------------------------------------------------------------150

　　　　大阪大学大学院理学研究科　　　内田 素夫　(UCHIDA, MOTOO)

　

16. On Boundary Value Problems for Micro-hyperbolic Systems of Differential Equations----------------------------------------------156

　　　　大阪大学大学院理学研究科　　　内田 素夫　(UCHIDA, MOTOO)

　

17. MICROLOCAL STUDY OF TRICOMI EQUATIONS------------------------------------------------------------------------------------------167

　　　　Department of Mathematics, National Defense Academy　　　UCHIKOSHI, KEISUKE

　

18. 分岐特性 Cauchy 問題の解の真性特異点(超局所解析における代数解析的方法)---------------------------------------------------------171

　　　　Department of Mathematics, Chiba Institute of Technology　　　山根 英司　(YAMANE, HIDESHI)

　

19. GOURSAT PROBLEM FOR A MICRODIFFERENTIAL OPERATOR OF FUCHSIAN TYPE AND ITS APPLICATION------------------------------------------175

　　　　Graduate School of Mathematical Sciences, The University of Tokyo　　　山崎 晋　(YAMAZAKI, SUSUMU)

　

20. Difference equation in the space of holomorphic functions of exponential type and Ramanujan summation--------------------------188

　　　　上智大学理工学部　　　吉野 邦生　(Yoshino, Kunio)

　

21. Normal Forms of Vector Fields and Diffeomorphisms------------------------------------------------------------------------------200

　　　　Department of Mathematics, Chuo University　　　Yoshino, Masafumi