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References
Duistermaat, J.J. and Hörmander, L., Fourier integral operators II. Acta Math., 128(1972), 183–269.
Duistermaat, J.J. and Sjöstrand, J., A global construction for pseudo-differential operators with non-involutive characteristics. Inventiones math., 20(1973), 209–225.
Hörmander, L., Fourier integral operators I. Acta Math., 127(1971), 79–183.
Hörmander, L., Lecture notes at the Nordic Summer School of Mathematics, 1969.
Hörmander, L., On the existence and the regularity of solutions of linear pseudo-differential operators. Enseignement Math., 17(1971), 99–163.
Hörmander, L., Pseudo-differential operators and hypoelliptic equations. Amer. Math. Soc. Symp. on Singular Integral Operators, 1966, 138–183.
Hörmander, L., Pseudo-differential operators and non-elliptic boundary problems Ann. Math., 83(1966), 129–209.
Kucherenko, V.V., Hamilton-Jacobi equations in a complex non-analytic situation. Dokl. Akad. Nauk SSSR, 213(1973), 1021–1024.
Kucherenko, V.V., Maslov’s canonical operator on a germ of complex, almost analytic manifold. Dokl. Akad. Nauk SSSR, 213(1973), 1251–1254.
Leray, J., Le calcul différentiel et intégral sur une variété analytique complexe (Problème de Cauchy, III). Bull. Soc. math. France, 87(1959), 81–180.
Maslov, V., The characteristics of pseudo-differential operators and difference schemes. Actes Congrès Intern. Math. Nice 1970, Tome 2, 755–769.
Nirenberg, L., A proof of the Malgrange preparation theorem. Proc. Liverpool Singularities Symp. I, Dept. pure Math. Univ. Liverpool 1969–1970, (1971), 97–105.
Nirenberg, L. and Treves, F., On local solvability of linear partial differential equations. Part I. Comm. Pure Appl. Math., 23(1970), 1–38.
Wells, R.O. Jr, Compact real submanifolds of a complex manifold with non-degenerate holomorphic tangent bundles. Math. Ann., 179(1969), 123–129.
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Melin, A., Sjöstrand, J. (1975). Fourier integral operators with complex-valued phase functions. In: Chazarain, J. (eds) Fourier Integral Operators and Partial Differential Equations. Lecture Notes in Mathematics, vol 459. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074195
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DOI: https://doi.org/10.1007/BFb0074195
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