Some applications of micro-local analysis to the global study of linear differential equations
Colloque International C.N.R.S. sur les équations aux dérivées partielles linéaires, Astérisque, no. 2-3 (1973), pp. 229-243. 
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     title = {Some applications of micro-local analysis to the global study of linear differential equations},
     booktitle = {Colloque International C.N.R.S. sur les \'equations aux d\'eriv\'ees partielles lin\'eaires},
     series = {Ast\'erisque},
     pages = {229--243},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {2-3},
     year = {1973},
     mrnumber = {391190},
     zbl = {0265.35062},
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Kawai, Takahiro. Some applications of micro-local analysis to the global study of linear differential equations, dans Colloque International C.N.R.S. sur les équations aux dérivées partielles linéaires, Astérisque, no. 2-3 (1973), pp. 229-243. http://archive.numdam.org/item/AST_1973__2-3__229_0/

Andersson, K. G. : [1] Analytic wave front sets for solutions of linear differential equations of principal type, to appear. | DOI | MR | Zbl

Bony, J. M. et P. Schapira : [1] Existence et prolongement des solutions holomorphes des équations aux dérivées partielles, to appear in Inven. Math. | EuDML | Zbl

De Giorgi, E. and L. Cattabriga : [1] Una demonstrazione diretta dell'esistenza di soluzioni analitiche nel piano reale di equazioni a derivate partiali a coefficienti constanti, BoLL. Un. Mat. Ital., 4 (1971) 1015-1027. | MR | Zbl

Duistermaat, J. J. and L. Hörmander : [1] Fourier integral operators II, Acta Math. 128 (1972) 183-269. | DOI | MR | Zbl

Egorov, Yu. V. : [1] On canonical transformations of pseudo-differential operators, Uspehi Mat. Nauk, 25 (1969), 235-236 (in Russian) | MR | Zbl

Ehrenpreis, L. : [1] Some applications of the theory of distributions to several complex variables, Seminar on Analytic Functions, Part I. Princeton, 1957, pp. 65-79. | Zbl

Ehrenpreis, L. : [2] Solutions of some problems of division IV, Amer. J. Math., 82 (1960), 522-588. | DOI | MR | Zbl

Guillemin, V. : [1] On subelliptic estimates for complexes, Proc. Nice Congress, 2, Gauthier-Villars, Paris, 1971, 227-230. | MR | Zbl

Hitotumatu, S. : [1] Theory of Functions of Several Complex Variables, Baihûkan, Tokyo, 1960 (in Japanese).

Hörmander, L. : [1] Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients, Comm. Pure Appl. Math., 24 (1971) 671-704. | DOI | MR | Zbl

Hörmander, L. : [2] Fourier integral operators I, Acta Math., 127 (1971) 79-183. | DOI | MR | Zbl

Kashiwara, M. : [1] Algebraic study of the system of partial differential equations, Master's thesis presented to Univ. of Tokyo, 1971 (in Japanese).

Kawai, T. : [1] Theory of Fourier transformation in hyperfunction theory and its applications, Surikaisekikenkyûsho Kokyûroku No. 108 (1970), pp. 84-288 (in Japanese)

Kawai, T. : [2] Construction of local elementary solutions for linear partial differential operators with real analytic coefficients, I. - The case with real principal symbols -, Publ. R.I.M.S., 7 (1971) 363-397. | DOI | MR | Zbl

Kawai, T. : [3] Constructions of local elementary solutions for linear partial differential operators with real analytic coefficients, II. - The case with complex principal symbols -, Publ. R.I.M.S. Kyoto Univ., 7 (1971) 399-424. | DOI | MR | Zbl

Kaway, T. : [4] On the global existence of real analytic solutions of linear differential equations, I and II, Proc. Japan Acad., 47 (1971), 537-540 and 643-647. | DOI | MR | Zbl

Kaway, T. : [5] Theorems on the finite-dimensionality of cohomology groups, I and II, Proc. Japan Acad. 48 (1972) 70-72 and 287-289. | DOI | MR | Zbl

Kaway, T. : [6] On the global existence of real analytic solutions of linear differential equations (I), to appear in J. Math. Soc. Japan. 24-3 (1972). | MR | Zbl

Kaway, T. : [7] Finite-dimensionality of cohomology groups attached to systems of linear differential equations, to appear in J. Math. Kyoto Univ. | MR | Zbl

Komatsu, H. : [1] Resolution by hyperfunctions of sheaves of solutions of differential equations with constant coefficients, Math. Ann., 176 (1968) 77-86. | DOI | EuDML | MR | Zbl

Komatsu, H. and T. Kawai : [1] Boundary values of hyperfunction solutions of linear partial differential equations, Publ. R.I.M.S. Kyoto Univ., 7 (1971) 95-104. | DOI | MR | Zbl

Malgrange, B. : [1] Some remarks on the notion of convexity for differential operators, Differential Analysis, Tata Institute, 1964, pp. 163-174. | MR | Zbl

Maslov, V. P. : [1] Theory of perturbations and asymptotic methods, Moskov, Gos. Univ., 1965 (in Russian).

Sato, M. : [1] Hyperfunctions and partial differential equations, Proc. Intern. Conf. on Functional Analysis and Related Topics, 1969, Univ. Tokyo Press, Tokyo, 1970, pp. 91-94. | Zbl

Sato, M., T. Kawai and M. Kashiwara : [1] On pseudo-differential equations in hyperfunction theory, to appear in Proceedings of the Symposium on Partial Differential Equations held by A.M.S. at Berkeley, 1971.

Sato, M., T. Kawai and M. Kashiwara : [2] Microfunctions and pseudo-differential equations, to appear in the report of Katata symposium. | MR | Zbl

Schwartz, L. : [1] Homomorphismes et applications complètement continues, C.R. Acad. Sci. Paris, 236 (1953) 2472-2473. | MR | Zbl