@incollection{SB_1981-1982__24__347_0, author = {Tr\'epreau, Jean-Marie}, title = {Syst\`emes diff\'erentiels \`a caract\'eristiques simples et structures r\'eelles-complexes}, booktitle = {S\'eminaire Bourbaki : volume 1981/82, expos\'es 579-596}, series = {Ast\'erisque}, note = {talk:595}, pages = {347--364}, publisher = {Soci\'et\'e math\'ematique de France}, number = {92-93}, year = {1982}, mrnumber = {689539}, zbl = {0526.58045}, language = {fr}, url = {http://www.numdam.org/item/SB_1981-1982__24__347_0/} }
TY - CHAP AU - Trépreau, Jean-Marie TI - Systèmes différentiels à caractéristiques simples et structures réelles-complexes BT - Séminaire Bourbaki : volume 1981/82, exposés 579-596 AU - Collectif T3 - Astérisque N1 - talk:595 PY - 1982 SP - 347 EP - 364 IS - 92-93 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1981-1982__24__347_0/ LA - fr ID - SB_1981-1982__24__347_0 ER -
%0 Book Section %A Trépreau, Jean-Marie %T Systèmes différentiels à caractéristiques simples et structures réelles-complexes %B Séminaire Bourbaki : volume 1981/82, exposés 579-596 %A Collectif %S Astérisque %Z talk:595 %D 1982 %P 347-364 %N 92-93 %I Société mathématique de France %U http://www.numdam.org/item/SB_1981-1982__24__347_0/ %G fr %F SB_1981-1982__24__347_0
Trépreau, Jean-Marie. Systèmes différentiels à caractéristiques simples et structures réelles-complexes, in Séminaire Bourbaki : volume 1981/82, exposés 579-596, Astérisque, no. 92-93 (1982), Talk no. 595, 18 p. http://www.numdam.org/item/SB_1981-1982__24__347_0/
[1] E.E. Levi Convexity and the H. Lewy problem, I, II, Ann. Sc. Norm. Sup. Pisa 26(1972), 323-363 et 747-806. | Numdam | MR | Zbl
, -[2] On the absence of Poincaré lemma in Tangential Cauchy-Riemann complexes, Ann. Sc. Norm. Sup. Pisa (1981). | Numdam | Zbl
, and -[3] A local constancy principle for the solutions of certain overdetermined systems of first order linear P.D.E, Vol. in Honour of L. Schwartz, Adv. in Maths, North-Holland (1981). | Zbl
, -[4] A property of the functions and distributions annihilated by a locally integrable system of complex vector fields, Ann. Math. 113(1981), 341-421. | MR | Zbl
, -[5] Hypoelliptic operators with double characteristics and related pseudodifferential operators, Comm. Pure Appl. Math. 27(1974), 585-639. | MR | Zbl
-[6] The spectral theory of Toeplitz operators, Ann. of Math. Studies (1981). | MR | Zbl
, -[7] Linear Partial Differential Operators, Grundl. Math. Wiss. Band 116, Springer, Berlin (1963). | MR | Zbl
-[8] Approximation on compact sets in Cn , Math. Scand. 23(1968), 5-21. | MR | Zbl
-[9] Unique continuation of solutions of the induced Cauchy-Riemann equations, Jour. of Diff. Equ. 23(1977), 436-447. | MR | Zbl
, , -[10] Non realizable C-R structures, (preprint).
, -[11] Algebraic study of systems of P.D.E, Thèse Univ. Tokyo (1970) (en japonais), et Systèmes d'équations microdifférentielles, Publ. de l'Univ. Paris-Nord (1978) (Notes de ).
-[12] On the boundary value problem for elliptic systems of linear differential operators I, II, Proc. Japan Ac. 48(1972), 712-715, et 49(1973), 164-168. | Zbl
, -[13] Some applications of boundary value problems for elliptic systems of linear differential equations, in Ann. of Math. Studies n° 93(1980). | MR | Zbl
, -[14] Structure of cohomology groups whose coefficients are microfunction solution sheaves of pseudodifferential equations with multiple characteristics I, II, Proc. Japan Ac. 50 (1974), 420-425 et 549-550. | MR | Zbl
, , -[15] Microhyperbolic systems, Acta Math. 142(1979), 1-55. | MR | Zbl
, -[16] On the equivalence of symbols of non degenerate CR structures, Comm. Pure App. Math. 33(1978), 1-21. | MR | Zbl
-[17] Strongly pseudoconvex CR structures over small balls III, preprint.
-[18] Fourier integral operators with complex valued phase function, Lect. Notes in Maths. n° 459, Springer (1975), 120-223. | MR | Zbl
, -[19] A localization principle for differential complexes and its applications, Publ. R.I.M.S. Kyoto Univ. 8(1972), 43-110. | MR | Zbl
-[20] On a question of Hans Lewy, Uspekhi, English Transl. (1973), 251-262. | Zbl
-[21] Approximation theorems on differentiable sub- manifolds of a complex manifold, Trans. Amer. Math. Soc. 142(1969), 15-35. | MR | Zbl
, -[22] Existence et prolongement des solutions holomorphes des équations aux dérivées partielles, J. Math. Pure et Appl. 55(1976), 21-46. | MR | Zbl
-[S-K-K] Hyperfunctions and Pseudodifferential Equations, in Lect. Notes in Math. n° 287, Springer 1973, 265-529. | MR | Zbl
, , -[23] Condition de positivité dans une variété symplectique complexe. Application à l'étude des microfonctions, Ann. Sc. Ec. Norm. Sup. 14(1981), 121-139. | Numdam | MR | Zbl
-[24] Singularités analytiques microlocales, Publ. Univ. Paris-Sud (1981). | MR
-[25] Analyse microlocale sur les variétés de Cauchy-Riemann et problème du prolongement des solutions holomorphes des équations aux dérivées partielles, preprint. | Zbl
-[26] Sur la régularité analytique des opérateurs de type principal, C.R. Acad. Sc. Paris, 293(1981), Série 1, 561-564. | MR | Zbl
-[27] Sur la résolubilité microlocale des opérateurs analytiques de type principal, en préparation.
-[28] Approximation and representation of functions and distributions annihilated by a system of complex vector fields, Publ. de l'Ecole Polytechnique (1981). | MR | Zbl
-[29] On the local solvability and the local integrability of systems of vector fields, preprint. | MR
-[30] Function theory of differentiable submanifolds, Contribution to Analysis, a collection of papers dedicated to Lipman Bers, Acad. Press New York (1974), 407-441. | MR | Zbl
-[31] Microlocal hypo-analyticity and extensions of CR functions, preprint. | MR
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