Algebraic study of systems of partial differential equations
Mémoires de la Société Mathématique de France, no. 63 (1995) , 86 p.
corrigé par Algebraic study of systems of partial differential equations 
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     title = {Algebraic study of systems of partial differential equations},
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     year = {1995},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {63},
     doi = {10.24033/msmf.377},
     zbl = {0877.35003},
     language = {en},
     url = {https://www.numdam.org/item/MSMF_1995_2_63__R1_0/}
}
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Kashiwara, Masaki. Algebraic study of systems of partial differential equations. Mémoires de la Société Mathématique de France, Nouvelle série, no. 63 (1995), 86 p. doi: 10.24033/msmf.377

[1] N. Bourbaki, Eléments de mathématique. Fascicule XXVIII. Algèbre commutative, Chapitre III, IV, Hermann, 1961.

[2] E. Cartan, Les systèmes différentiels extérieurs et leurs applications géométriques, Hermann, 1945. | Zbl | MR

[3] H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, 1956. | Zbl | MR

[4] J. Dieudonné and A. Grothendieck, Eléments de géométrie algébrique, Chapitre II, III, IV, Inst. Hautes Etudes Sci. Publ. Math. 8, 11, 17, 20, 24, 32. | Zbl | Numdam

[5] J. Frisch, Points de platitude d'un morphisme d'espaces analytiques complexes, Invent. Math. 4 (1967), 118-138. | Zbl | MR

[6] R. Hartshorne, Residues and duality, Lecture Notes in Mathematics 20, Springer, 1966. | Zbl | MR

[7] R. Harvey and R. O. Wells Jr., Compact holomorphically convex subsets of a Stein manifold, Trans. Amer. Math. Soc. 136 (1969), 509-516. | Zbl | MR

[8] H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II, Ann. of Math. 79 (1964), 109-326. | Zbl | MR

[9] C. Houzel, Géométrie analytique locale, Séminaire Henri Cartan, 13ème année : 1960/1961, Ecole Normale Supérieure, 1962. | Zbl | Numdam

[10] * M. Kashiwara and T. Kawai, Pseudo-differential operators in the theory of hyperfunctions, Proc. Japan Acad. 46 (1970), 1130-1134. | Zbl | MR

[11] B. Malgrange, Cohomologie de Spencer (d'après Quillen).

[12] V. P. Palamodov, Differential operators in the class of convergent power series, and the Weierstrass preparation theorem, Funkcional. Anal. i Prilozen 2 (1968), 58-69. | Zbl | MR

[13] V. P. Palamodov, Linear differential operators with constant coefficients, Grundlehren der mathematischen Wissenschaften 168, Springer, 1970. | Zbl | MR

[14] D. Quillen, Formal properties of overdetermined system of linear partial differential equations, Thesis (1964).

[15] M. Sato, Theory of hyperfunctions I, II, Journ. Fac. Sci. Univ. Tokyo Sect. I 8 (1959), 139-193; ibid. 8 (1960), 387-437. | Zbl | MR

[16] M. Sato, Hyperfunctions and partial differential equations, Proceedings of the International Conference on Functional Analysis and Related Topics (Tokyo, April, 1969), University of Tokyo Press, Tokyo, 1970. | Zbl

[17] * T. Kawai and H. Komatsu, Boundary values of hyperfunction solutions of linear partial differential equations, Publ. Res. Inst. Math. Sci. 7 (1971/1972), 95-104. | Zbl

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