Regularity theorems for holonomic modules

• Autorzy: Naofumi Honda
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 33
• Numer: 1
• Strony: 85-91

Daty

wydano

1996

Twórcy

autor

Naofumi Honda

• Hokkaido University, Faculty of Science, Department of Mathematics, Sapporo, 060 Japan

Bibliografia

• [1] E. Andronikof, Microlocalisation tempérée des distributions et des fonctions holomorphes I, C. R. Acad. Sci. Paris 303 (1986), 347-350.
• [2] E. Andronikof, Microlocalisation tempérée des distributions et des fonctions holomorphes II, ibid. 304 (1987), 511-514.
• [3] E. Andronikof, On the $C^∞$-singularities of regular holonomic distributions, Ann. Inst. Fourier (Grenoble) 42 (1992), 695-704.
• [4] N. Honda, On the reconstruction theorem of holonomic modules in Gevrey classes, Publ. R.I.M.S. 27 (1991), 923-943.
• [5] N. Honda, Microlocalization in Gevrey classes, in preparation.
• [6] N. Honda, Regularity theorems for holonomic modules, in preparation.
• [7] M. Kashiwara, On the maximally overdetermined systems of linear differential equations, I, Publ. R.I.M.S. 10 (1975), 563-579.
• [8] M. Kashiwara, On the holonomic systems of linear differential equations, II, Invent. Math. 49 (1978), 121-135.
• [9] M. Kashiwara, The Riemann-Hilbert problem for holonomic systems, Publ. R.I.M.S. 20 (1984), 319-365.
• [10] M. Kashiwara and T. Kawai, On the holonomic systems of microdifferential equations, III, ibid. 17 (1981), 813-979.
• [11] M. Kashiwara and T. Oshima, Systems of differential equations with regular singularities and their boundary value problems, Ann. of Math. 106 (1977), 145-200.
• [12] M. Kashiwara and P. Schapira, Microlocal study of sheaves, Astérisque 128 (1985).
• [13] M. Kashiwara and P. Schapira, Sheaves on Manifolds, Grundlehren Math. Wiss. 292, Springer, 1990.
• [14] H. Komatsu, On the regularity of hyperfunction solutions of linear ordinary differential equations with real analytic coefficients, J. Fac. Sci. Univ. Tokyo Sec. IA 20 (1973), 107-119.
• [15] Y. Laurent, Théorie de la deuxième microlocalisation dans le domaine complexe, Progr. Math. 53, Birkhäuser, 1985.
• [16] B. Malgrange, Sur les points singuliers des équations différentielles, Enseign. Math. 20 (1974), 147-176.
• [17] J.-P. Ramis, Devissage Gevrey, Astérisque 59-60 (1978), 173-204.
• [18] M. Sato, T. Kawai and M. Kashiwara, Hyperfunctions and pseudodifferential equations, in: Lecture Notes in Math. 287, Springer, 1973, 265-529.
• [19] P. Schapira, Microdifferential Systems in the Complex Domain, Grundlehren Math. Wiss. 269, Springer, 1985.