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Bibliography
Andreotti, A., and Grauert, H., “Théorémes de finitude pour la cohomologie des espaces complexes,” Bull. Soc. Math. France 90 (1962), 193–259.
Andreotti, A., “Théorémes dé dependance algébrique sur les espaces complexes pseudo-concaves,” Bull. Soc. Math. France 91 (1963), 1–38.
Bremermann, H. J., Űber die Äquivalenz der pseudo-konvexen Gebiete und der Holomorphie-gebiete im Raum von n komplexen Veränderlichen,” Math. Ann. 128 (1954), 63–91.
Bremermann, H. J., “Complex convexity”, Trans. Amer. Math. Soc. 82 (1956) 17–51.
Cartan, H., Séminaire E.N.S., 1951–1952, École Normale Supérieure, Paris.
Docquier, F., and Grauert, H., “Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten,” Math. Ann., 140 (1960), 94–123.
Garabedian, P. R., and Spencer, D. C., “Complex boundary value problems,” Trans. Amer. Math. Soc. 73 (1952), 223–242.
Grauert, H., “On Levi's Problem and the imbedding of real-analytic manifolds,” Ann. Math. 68 (1958), 460–472.
Grauert, H., “Űber Modifikationen und exzeptionelle analytische Mengen,” Math. Ann. 146 (1962), 331–368.
Grauert, H., und Remmert, R., “Plurisubharmonische Funktionen in Komplexen Räumen,” Math. Zeit., 65 (1956), 175–194.
Hironaka, H., “The resolution of singularities of an algebraic variety (characteristic zero),” Ann. Math. 79 (1964), 109–800.
Gunning, R. C. and Rossi, H., Analytic Functions of Several Complex Variables, Prentice-Hall, 1965.
Hironaka, H., A Fundamental lemma on point modifications, Conference on Complex Analysis, Minneapolis, Springer-Verlag 1965.
Hörmander, L., L2 estimates and existence theorems for the -operator, Acta Math. 113, 89–152 (1965).
Hörmander, L., An Introduction to Complex Analysis in Several Variables, Van Nostrand, 1966.
Hurewicz and Wallman, Dimension theory.
Kohn, J. J., “Harmonic integrals on strongly pseudoconvex manifolds, I., II,” Ann. Math. 78 (1963), 112–148.
Kohn, J. J. and Nirenberg, L., Non-coercive boundary problems, Comm. Pure and Appl. Math., 18, 443–492 (1965).
Kohn, J. J., and Rossi, H., “On the extension of holomorphic functions from the boundary of a complex manifold” (not published).
Kohn, J. J., and Spencer, D. C., “Complex Neumann problems,” Ann. Math. 66 (1957), 89–140.
Kohn, J. J., Boundaries of complex manifolds, Conference on Complex Analysis, Minneapolis, Springer-Verlag 1965.
Lelong, P., “La convexité et les fonctions analytiques de plusieur variables complexes,” J. Math. Pures Appl., 31 (1952)., 191–219.
Lelong, P., “Domaines convexes par rapport aux fonctions plurisousharmoniques”, J. d'Analyse Math., 2 (1952–53), 178–208.
Levi, E. E., “Studii sui punti singolari essenziali delle funzioni analitiche di due o più variabili complesse, “Annali di Mat. pura ed appl. 17, 3 (1910), 61–87.
Morrey, C. B., “The analytic imbedding of abstract real-analytic manifolds”, Ann. Math. 68 (1958), 159–201.
Nagata, M., Local Rings, Interscience 1962.
Narasimhan, R., “The Levi problem for complex spaces,” Math. Ann. 142 (1961), 355–365.
Narasimhan, R., “Levi Problem for Complex Spaces II,” Math. Ann. 146 (1962), 195–216.
Nirenberg, R., and Wells, R. O., “Holomorphic approximation on real submanifolds of complex manifolds, Bull. A.M.S., 73, 378–381 (1967).
Norguet F., “Sur les domaines d'holomorphie des fonctions uniformes de plusieurs variables complexes (passage du local au global),” Bull. Soc. Math. France, 82 (1954), 137–159.
Oka, K., Sur les fonctions analytiques de plusieurs variables (Tokyo, Iwanami Shoten, 1961). [This is a collection of reprints of nine articles under the same general title, which have appeared in the following journals: I “Domaines convexes par rapport aux fonctions rationelles,” J. Sci. Hiroshima Univ., ser. A 6 (1936), 245–255. II “Domaines d'holomorphie,” J. Sci. Hiroshima Univ., ser. A 7 (1937), 115–130. III “Deuxième/problème de Cousin,” J. Sci. Hiroshima Univ., ser. A 9 (1939), 7–19. IV “Domaines d'holomorphie et domaines rationellement convexes,” Jap. J. Math. 17 (1941), 517–521. V “L'intégrale de Cauchy,” Jap. J. Math. 17 (1941), 523–531. VI “Domaines pseudoconvexes,” Tohoku Math. J. 49 (1942), 15–52. VII “Sur quelques notions artithmétiques,” Bull. Soc. Math. France 78 (1950), 1–27. VIII “Memme fondamental,” J. Math. Soc. Japan 3 (1951), 204–214 and 259–278. IX “Domaines finis sans point critique intérieur,” Jap. J. Math. 23 (1953), 97–155. Since then, the following paper in the series has also appeared: X “Une mode nouvelle engendrant les domaines pseudoconvexes,” Jap. J. Math. 32 (1962), 1–12.
Rossi, H., Attaching analytic spaces to an analytic space along a pseudoconcave boundary, Conference on Complex Analysis, Minneapolis, Springer-Verlag, 1965.
Rossi, H., Lecture notes, Seminaires des Mathematiques Supérieures, Montréal, 1967.
Hironaka, H. and Rossi, H., On the equivalence of embeddings of exceptional complex spaces, Math. Annalen, 1965.
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Rossi, H. (1969). Strongly pseudoconvex manifolds. In: Taam, C.T. (eds) Lectures in Modern Analysis and Applications I. Lecture Notes in Mathematics, vol 103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099982
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DOI: https://doi.org/10.1007/BFb0099982
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