@article{SEDP_1984-1985____A4_0, author = {Kashiwara, M. and Schapira, P.}, title = {Application of the microlocal theory of sheaves to the study of ${\mathcal {O}}_X$}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:4}, pages = {1--15}, publisher = {Ecole Polytechnique, Centre de Math\'ematiques}, year = {1984-1985}, zbl = {0597.58028}, language = {en}, url = {http://archive.numdam.org/item/SEDP_1984-1985____A4_0/} }
TY - JOUR AU - Kashiwara, M. AU - Schapira, P. TI - Application of the microlocal theory of sheaves to the study of ${\mathcal {O}}_X$ JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:4 PY - 1984-1985 SP - 1 EP - 15 PB - Ecole Polytechnique, Centre de Mathématiques UR - http://archive.numdam.org/item/SEDP_1984-1985____A4_0/ LA - en ID - SEDP_1984-1985____A4_0 ER -
%0 Journal Article %A Kashiwara, M. %A Schapira, P. %T Application of the microlocal theory of sheaves to the study of ${\mathcal {O}}_X$ %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:4 %D 1984-1985 %P 1-15 %I Ecole Polytechnique, Centre de Mathématiques %U http://archive.numdam.org/item/SEDP_1984-1985____A4_0/ %G en %F SEDP_1984-1985____A4_0
Kashiwara, M.; Schapira, P. Application of the microlocal theory of sheaves to the study of ${\mathcal {O}}_X$. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1984-1985), Exposé no. 4, 15 p. http://archive.numdam.org/item/SEDP_1984-1985____A4_0/
[1 ] Théorèmes de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. France, 90, 193-259, (1962). | Numdam | MR | Zbl
, :[2] Microlocal hypo-analyticity and extension of C.R. functions. J. Diff. Geometry 18, n°3, 331-391, (1983). | MR | Zbl
, , :[3] Décomposition microlocale analytique des distributions. Ann. Inst. Fourier, Grenoble, 29 n°3, 101-124, (1979). | Numdam | MR | Zbl
, :[4] Residues and duality. Lecture Notes in Math. 20, Springer-Verlag, (1966). | MR | Zbl
:[5] An introduction to complex analysis in several variables, Van Norstrand, Princeton -London Toronto (1966). | MR | Zbl
:[6] Fourier integral operators. Acta Math. 127, 79.183 (1971). | MR | Zbl
:[7] On the boundary value problem for elliptic systems of linear differential equations, I, II. Proc. Japan. Acad. 48, 712-715, (1972) and 49, 164-168, (1973). | MR | Zbl
, :[8] Some applications of boundary value problems for elliptic systems of linear differential equations. Ann. Math. Studies, 93, Princeton (1980). | MR | Zbl
, :[9] Microlocal study of sheaves. Astérisque Soc. Math. France (1985) (to appear). cf. also: C.R. Acad. Sci. 295, 487-490, (1982), Proc. Japan Acad. 59, n°8, 349-351 and 352-354 (1983), or R.I.M.S. preprint n° 469 (1984), or Prepubl. Univ. Paris-Nord n°51 (1984). | Zbl
, :[10] A vanishing theorem for a class of systems with simple characteristics.To appear. | MR | Zbl
, :[11] Analyse Lagrangienne et mécanique quantique.Collège de France (1976-77). | MR
:[12] On the local character of the solution of an atypical differential equation in three variables and a related problem for regular functions of two complex variables. Ann. of Math. 64, 514-522, (1956). | MR | Zbl
:[13] The Weil representation, Maslov index, and theta series - progress in Math.6 Birckhauser (1980). | MR | Zbl
, :[14] Faisceaux sur des variétés analytiques réelles. Bull. Soc. Math. France, 85, 231-237, (1957). | EuDML | Numdam | MR | Zbl
:[15] Poincaré's Lemma for tangential Cauchy-Riemann complexes. Preprint 41, Univ. di Pisa, (1983).
:[16] Localization principle for differential complexes and its applications. Publ. R.I.M.S. Kyoto Univers. vol.8, 43-110 (1972). | MR | Zbl
:[17] Hyperfunctions and pseudo-differential equations. Lecture Notes in Math. 287, 265-529, Springer Verlag, (1973). | MR | Zbl
, , :[18] Condition de positivité dans une variété symplectique complexe. Application à l'étude des microfonctions. Ann. Ec. Norm. Sup. 14, 121-139, (1981). | EuDML | Numdam | MR | Zbl
:[19] The F.B.I. transformation for C.R. submanifolds of Cn. Prepubl. Orsay (1982).
:[20] Analyse microlocale des variétés de Cauchy-Riemann et problème du prolongement des solutions holomorphes des équations aux dérivées partielles. Publ. R.I.M.S., Kyoto Univ. Vol. 18,911-945 (1983). | MR | Zbl
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