Localization of global existence of holomorphic solutions of holomorphic differential equations with infinite dimensional parameter

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1. Idéaux de fonctions analytiques de $n$ complexes variables, Bull. Soc. Math. France. 78 (1950), 28–64. (1950) MR0036848
2. Séminaire E.N.S., École Normare Supérieur, Paris, 1951/1952. (1951/1952) 
3. L’équation $\overline{\partial }u=F$ en dimension infinite, université Lille Publ. Int. 131, 1968, pp. 6–9. (1968) 
4. The $\overline{\partial }$-equation in D.F.N. spaces, J. Math. Anal. Appl. 78-2 (1980), 466–87. (1980) MR0601549
5. 10.24033/bsmf.1951, Bull. Soc. Math. France. 110 (1982), 15–26. (1982) MR0662127DOI10.24033/bsmf.1951
6. 10.1007/BF01433463, Math. Ann. 202 (1973), 337–345. (1973) Zbl0238.46022MR0330511DOI10.1007/BF01433463
7. Cousin’s first problem on certain locally convex topological spaces, Acad. Brasil. Cienc. 48-1 (1976), 229–236. (1976) MR0438376
8. 10.1215/ijm/1256051345, Illinois J. Math. 18 (1974), 20–26. (1974) Zbl0276.32017MR0348495DOI10.1215/ijm/1256051345
9. Theorem of analytic functions of several complex variables, (1960), Baihuukan. (Japanese) (1960) 
10. On an application of L. Ehrenpreis’ method to ordinary differential equations, Kōdai Math. Sem. Rep., 15-2 (1963), 94–105. (1963) MR0151658
11. Localization of Global Existence of Holomorphic Solutions of Differential Equations with Complex Parameters, Proc. 4th Int. Coll. on Differential Equations, VSP (Utrecht), 1993, pp. 147–156. (1993) MR1458393
12. On the existence of global holomorphic solutions of differential equations with complex parameters, Czechoslovak Math. J. 24(199) (1974), 444–454. (1974) MR0358871
13. Continuation and vanishing theorem for cohomology of infinite dimensional space, Pusan Kyôngnam Math. J. 1 (1993), 65–73. (1993) 
14. Pseudo-Convéxité, Convéxité et Domaines d’Holomorphie en Dimension Infinie, North-Holland. Math. Studies 3 (1973). (1973) 
15. Sur les fonctions analytiques plusieurs variables: VII Sur quelques notions arithmétiques, Bull. Soc. math. France 78 (1950), 1–27. (1950) MR0035831
16. Sur les fonctions analytiques plusieurs variables: IX Domaines finis sans point critique intérieur, Jap. J. Math. 23 (1953), 1–27. (1953) MR0071089
17. 10.1016/0022-1236(91)90084-I, J. Func. Anal. 98 (1991), 380–402. (1991) MR1111575DOI10.1016/0022-1236(91)90084-I
18. Quelques problémes globaux aux variétés de Stein, Coll. Plus. Var., Bruxelle (1953), 57–68. (1953) 
19. On the global existence of holomorphic solutions of $\partial u/\partial x_1=f$, Sci. Rep. Tokyo Kyoiku Daigaku 11 (1972), 253–258. (1972) MR0310457
20. Non existence of holomorphic solutions of $\partial u/\partial z_1=f$, Proc. Jap. Acad. 44 (1968), 820–822. (1968) MR0240330