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Literature Cited
A. Andreotti and H. Grauert, "Théorèmes de finitude pour la cohomologie des espaces complexes," Bull. Soc. Math. France,90, 193–259 (1962).
A. Andreotti and F. Norguet, "La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique," Ann. Scuola Norm. Super. Pisa,21, No. 1, 31–82 (1967).
A. Andreotti and F. Norguet, "Cycles of algebraic manifolds and Aeppli cohomology," Ann. Scuola Norm. Super. Pisa,25, No. 1, 59–114 (1971).
L. A. Aizenberg, "The general form of linear continuous functionals in spaces of functions, holomorphic in convex domains of Cn," Dokl. Akad. Nauk SSSR,166, No. 5, 1015–1018 (1966).
I. M. Gel'fand, M. I. Graev, and Z. Ya. Shapiro, "Integral geometry on k-dimensional planes," Funkts. Anal. Prilozhen.,1, No. 1, 15–31 (1967).
R. Harvey, "The theory of hyperfunctions on totally real subsets of a complex manifold with applications to extension problems," Am. J. Math.,41, No. 4, 853–873 (1969).
G. M. Khenkin, "G. Levi's equation and analysis on pseudoconvex manifolds," Usp. Mat. Nauk,32, No. 3, 57–118 (1977).
J. Leray, Differential and Integral Calculus on Complex Analytic Manifolds [Russian translation], IL, Moscow (1961).
D. Lerner, "The inverse twistor function for positive frequency fields," Twistor Newsletter,5, July, 1977, Oxford.
E. Michael, "Continuous selections. I, II," Ann. Math.,63, No. 2, 361–382 (1956);64, No. 3, 562–580 (1956).
A. Martineau, "Sur la topologie des espaces de fonctions holomorphes," Math. Ann.,163, 62–88 (1966).
A. Martineau, "Equations différentielles d'ordre infini," Bull. Soc. Math. France,95, 109–154 (1967).
R. Penrose, "Massless fields and sheaf cohomology," Twistor Newsletter,5, July, 1977, Oxford.
R. M. Range and Siu Yum-Tong, "Uniform estimates for the ∂-equation on domains with piecewise smooth strictly pseudoconvex boundaries," Math. Ann.,206, No. 4, 325–354 (1973).
R. O. Wells, "Complex manifolds and mathematical physics," Preprint, Rice Univ. (1977).
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Moscow State University. Central Economics-Mathematics Institute, Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 12, No. 4, pp. 6–23, October–December, 1978.
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Gindikin, S.G., Khenkin, G.M. Integral geometry for\(\bar \partial\)-cohomology in q-linear concave domains in CPn . Funct Anal Its Appl 12, 247–261 (1978). https://doi.org/10.1007/BF01076379
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DOI: https://doi.org/10.1007/BF01076379