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Literature cited

  1. V. S. Vladimirov, Methods of the Theory of Functions of Many Complex Variables [in Russian], Nauka, Moscow (1964), 411 pp.

    Google Scholar 

  2. M. L. Gromov and Ya. M. Éliashberg, “Nonsingular mappings of Stein manifolds,” Funktsional'. Analiz i Ego Prilozhen.,5, No. 2, 82–83 (1971).

    Google Scholar 

  3. V. L. Gutenmakher, “Construction of one holomorphicity domain,” Uspekhi Matem. Nauk,26, No. 1, 223–224 (1971).

    Google Scholar 

  4. A. A. Pankov, “On certain sheaves connected with holomorphic Banach bundles,” in: Mathematical Investigations, Vol. 7, Issue 1 [in Russian], “Shtiintsa,” Kishinev (1972), pp. 108–115.

    Google Scholar 

  5. B. A. Fuks, Theory of Analytic Functions of Many Complex Variables. Part I. Introduction to the Theory of Analytic Functions of Many Complex Variables [in Russian], Fizmatgiz, Moscow (1962), 419 pp.

    Google Scholar 

  6. B. A. Fuks, Special Chapters in the Theory of Analytic Functions of Many Complex Variables [in Russian], Fizmatgiz, Moscow (1963), 427 pp.

    Google Scholar 

  7. A. F. Adib, “Global characterization of strongly pseudoconvex domains,” Proc. Math. and Phys. Soc. UAR, No. 31, 89–92 [1967(1969)].

    Google Scholar 

  8. A. Aeppli, “On determining sets in a Stein manifold,” Proc. Conf. Complex Analysis, Minneapolis, 1964, Springer-Verlag, Berlin-Heidelberg-New York (1965), pp. 48–58.

    Google Scholar 

  9. A. Aeppli, “On the cohomology structure of Stein manifolds,” Proc. Conf. Complex Analysis, Minneapolis, 1964, Springer-Verlag, Berlin-Heidelberg-New York (1965), pp. 58–70.

    Google Scholar 

  10. V. Ancrona and J.-P. Speder, “Espaces de Banach-Stein,” Ann. Scuola Norm. Super. Pisa, Sci. Fis. e Mat.,25, No. 4, 683–690 [1971(1972)].

    Google Scholar 

  11. A. Andreotti and T. Frankel, “The Lefschetz theorem on hyperplane sections,” Ann. Math.,69, No. 3, 713–717 (1959).

    Google Scholar 

  12. A. Andreotti and R. Narasimhan, “Oka's Heftungslemma and the Levi problem for complex spaces,” Trans. Amer. Math. Soc.,111, No. 2, 345–366 (1964).

    Google Scholar 

  13. A. Andreotti and E. Vesentini, “Les théorèmes fondamentaux de la théorie des espaces holomorphiquement complets,” Cahiers Sémin. Topol. et Géom. Différent. Ch. Ehresmann, Fac. Sci. Paris (1962–1963), p. 4.

  14. C. Bănică, “Theoreme de dualitate pe varietãti Stein si coomologie cu suport compact,” Stud. si Cerc. Mat.,23, No. 4, 523–559 (1971).

    Google Scholar 

  15. C. Bănică, “Un théorème concernant la séparation de certains espaces de cohomologie,” C. R. Acad. Sci. Paris,272, No. 12, A782-A785 (1971).

    Google Scholar 

  16. C. Bănică, A. Duma, and O. Stănăšilă, “Proprietăti ale spatiilor Stein (Consecînte ale teoremelor A si B),” Stud. si Cercetări Mat. Akad. RSR,21, No. 6, 877–907 (1969).

    Google Scholar 

  17. C. Bănică and O. Stănăšilă, “Sur les ouverts de Stein dans un espace complexe,” C. R. Acad. Sci. Paris,268, No. 18, A1024-A1027 (1969).

    Google Scholar 

  18. C. Bănică and O. Stănăšilă, “Sur la profondeur d'un faisceau analytique cohérent sur un espace de Stein,” C. R. Acad. Pari,269, No. 15, A636-A639 (1969).

    Google Scholar 

  19. C. Bănică and O. Stănăšilă, “Sur les morphismes dans un espace de Stein,” Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. e Natur.,46, No. 6, 650–652 (1969).

    Google Scholar 

  20. C. Bănică and O. Stănăšilă, “Probleme de Poincare pour un espace de Stein,” Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. e Natur.,47, Nos. 1–2, 25–26 (1969).

    Google Scholar 

  21. C. Bănică and O. Stănăšilă, “A result on section algebras over complex spaces,” Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. e Natur.,47, No. 5, 233–235 [1969(1970)].

    Google Scholar 

  22. C. Bănică and O. Stănăšilă, “A structure theorem for the analytic coherent sheaves,” Boll. Unione Mat. Ital.,2, No. 6, 615–621 (1969).

    Google Scholar 

  23. C. Bănică and O. Stănăšilă, “Sur les germes de faisceaux analytiques cohérents définis autour de la frontière d'un espace de Stein,” C. R. Acad. Sci. Paris,270, No. 4, A239-A241 (1970).

    Google Scholar 

  24. C. Bănică and O. Stănăšilă, “Sur la cohomologie des faisceaux analytiques cohérents à support dans un compact holomorphe-convexe,” C. R. Acad. Sci. Paris,270, No. 18, A1174-A1177 (1970).

    Google Scholar 

  25. C. Bănică and O. Stănăšilă, “Quelques conditions pour q'un espace complexe soit un espace de Stein,” in: Espaces Analytiques, Sémin. Inst. Math. Acad. RSR, Bucarest (1971), pp. 159–164).

  26. B. Bigolin, “Gruppi di Aeppli,” Ann. Scuola Norm. Super. Pisa, Sci. Fis. e Mat.,23, No. 2, 259–287 (1969).

    Google Scholar 

  27. E. Bishop, “Mappings of partially analytic spaces,” Amer. J. Math.,83, No. 2, 209–242 (1961).

    Google Scholar 

  28. E. Bishop, “Partially analytic spaces,” Amer. J. Math.,83, No. 4, 669–692 (1961).

    Google Scholar 

  29. E. Bishop, “Analytic functions with values in a Fréchet space,” Pacif. J. Math.,12, No. 4, 1177–1192 (1962).

    Google Scholar 

  30. H. Bremermann, “Über die Äquivalenz der pseudokonvexen Gebiete und der Holomorphiegebiete im Raum von n komplexen Veränderlichen,” Math. Ann.,128, No. 1, 63–81 (1954).

    Google Scholar 

  31. L. Bungart, “Holomorphic functions with values in locally convex spaces and applications to integral formulas,” Trans. Amer. Math. Soc.,111, No. 2, 317–344 (1964); “Errata,” Trans. Amer. Math. Soc.,113, No. 3, 547 (1964).

    Google Scholar 

  32. L. Bungart, “On analytic fiber fundles. I. Holomorphic fiber bundles with infinite-dimensional fibers,” Topology,7, No. 1, 55–68 (1968).

    Google Scholar 

  33. H. Cartan, “Espace fibrés analytiques,” Sympos. Internac. Algebraica, 1956, Agosto, México (1958), pp. 97–121.

    Google Scholar 

  34. H. Cartan, “Quotients of complex analytic spaces,” Contribs. Function Theory, Tata Inst. Fund. Res., Bombay (1960), pp. 1–15; Russian translation in: Complex Spaces, Moscow (1965), pp. 29–44.

    Google Scholar 

  35. S. Coen, “Sul rango dei faSci coerenti,” Boll. Unione Mat. Ital.,22, No. 3, 373–382 (1967).

    Google Scholar 

  36. G. Coeuré, “Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications à l'étude des fonctions analytiques,” Ann. Inst. Fourier,20, No. 1, 361–432 (1970).

    Google Scholar 

  37. S. Dineen, “Fonctions analytiques dans les espaces vectoriels topologiques localement convexes,” C. R. Acad. Sci. Paris,274, No. 7, A544-A546 (1972).

    Google Scholar 

  38. S. Dineen, “Convexité holomorphe en dimension infinie,” Lecture Notes. Math.,275, 177–181 (1972).

    Google Scholar 

  39. S. Dineen and A. Hirschowitz, “Sur le théorème de Lévi banachiques,” C. R. Acad. Sci. Paris,272, No. 19, A1245-A1247 (1971).

    Google Scholar 

  40. F. Docquier and H. Grauert, “Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigflatigkeiten,” Math. Ann.,140, No. 2, 94–123 (1960).

    Google Scholar 

  41. J.-L. Ducourtioux, “Sur les extensions de corps de fontions méromorphes,” C. R. Acad. Sci. Paris,273, No. 11, A454-A456 (1971).

    Google Scholar 

  42. A. Ferrari, “Cohomology and holomorphic differential forms on complex analytic spaces,” Ann. Scuola Norm. Super. Pisa, Sci. Fis. e Mat.,24, No. 1, 65–77 (1970).

    Google Scholar 

  43. G. Fisher, “Lineare Faserräume und kohärente Modulgarben über komplexen Räumen,” Arch. Math.,18, No. 6, 609–617 (1967).

    Google Scholar 

  44. G. Fischer, “Holomorph-voll ständige Faserbundel,” Math. Ann.,180, No. 4, 341–348 (1969).

    Google Scholar 

  45. G. Fischer, “Hilbert spaces of holomorphic functions on bounded domains,” Manuscr. Math.,3, No. 3, 305–314 (1970).

    Google Scholar 

  46. G. Fischer, “Fibrés holomorphes au-dessus d'un espace de Stein,” in: Espaces Analytiques, Sémin. I Inst. Math. Acad. RSR, Bucarest (1971), pp. 57–69.

    Google Scholar 

  47. O. Forster, “Primärzerlegung in Steinschen Algebren,” Math. Ann.,154, No. 4, 307–329 (1964).

    Google Scholar 

  48. O. Forster, “Uniqueness of topology in Stein algebras,” in: Function Algebras (1966), pp. 157–163.

  49. O. Forster, “Zur Theories der Steinschen Algebren und Moduln,” Math. Z.,97, No. 5, 376–405 (1967).

    Google Scholar 

  50. O. Forster, “Some remarks on parallelizable Stein manifolds,” Bull. Amer. Math. Soc.,73, No. 5, 712–716 (1967).

    Google Scholar 

  51. O. Forster, “Plongements des variétés de Stein,” Comment. Math. Helv.,45, No. 2, 170–184 (1970).

    Google Scholar 

  52. O. Forster, “Topologische Methoden in der Theorie Steinscher Räume,” Actes Congr. Int. Mathématiciens, 1970, T. 2, Paris (1971), pp. 613–618.

  53. O. Forster and K. J. Ramspott, “Über die Darstellung analytischer Mengen,” Sitzungsber. Bayer. Akad. Wiss. Math.-naturwiss. Kl., 1963, München (1964), pp. 89–99.

  54. O. Forster and K. J. Ramspott, “Singularitätenfreie analytische Raumkurven als vollständige Durchschnitte,” Sitzungsber. Bayer. Akad. Wiss. Mäth.-Naturwiss Kl., 1965, München (1966), pp. 1–10.

  55. O. Forster and K. J. Ramspott, “Okasche Paare von Garben nicht-abelscher Gruppen,” Invent. Math.,1, No. 3, 260–286 (1966).

    Google Scholar 

  56. O. Forster and K. J. Ramspott, “Analytische Modulgarben und Endromisbündel,” Invent. Math.,2, No. 2, 145–170 (1966).

    Google Scholar 

  57. O. Forster and K. J. Ramspott, “Homotopieklassen von Idealbasen in Steinschen Algebren,” Invent. Math.,5, No. 4, 255–276 (1968).

    Google Scholar 

  58. J. Frenkel and F. Norguet, “Sur la cohomologie à coefficients complexes des variétés de Stein,” C. R. Acad. Sci. Paris,256, No. 14, 2988–2989 (1963).

    Google Scholar 

  59. R. Fujita, “Domains sans point critique intérieur sur l'espace projectif complexe,” J. Math. Soc. Jap.,15, No. 4, 443–473 (1963).

    Google Scholar 

  60. R. Fujita, “Domains sans point critique intérieur sur l'espace produit,” J. Math. Kyoto Univ.,4, No. 3, 493–514 (1965).

    Google Scholar 

  61. H. Grauert, “Charakterisierung der holomorph-vollständigen komplexen Räume,” Math. Ann.,129, No. 3, 233–259 (1955).

    Google Scholar 

  62. H. Grauert, “Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen,” Math. Ann.,133, No. 5, 450–472 (1957).

    Google Scholar 

  63. H. Grauert, “Analytische Faserungen über holomorph-vollständigen Räumen,” Math. Ann.,135, No. 3, 263–273 (1958).

    Google Scholar 

  64. H. Grauert, “On Levi's problem and the imbedding of real-analytic manifolds,” Ann. Math.,68, No. 2, 460–472 (1958); Russian translation in: Matematika (Periodic Collection of Translations of Foreign Articles),4, No. 3, 29–40 (1958).

    Google Scholar 

  65. H. Grauert, “Ein Theorem der analytischen Garbentheorie und die Modulräume komplexer Strukturen,” Publs. Math. Inst. Hautes Études Scient., No. 5, 1–64 (1960); Russian translation in: Complex Spaces, Moscow (1965), pp. 205–312.

    Google Scholar 

  66. H. Grauert, “Über Modifikationen und exzeptionelle analytische Mengen,” Math. Ann.,146, No. 4, 331–368 (1962); Russian translation in: Complex Spaces, Moscow (1965), pp. 45–86.

    Google Scholar 

  67. H. Grauert, “Bemerkenswerte pseudokonvexe Mannigfaltigkeiten,” Math. Z.,81, No. 5, 377–391 (1963).

    Google Scholar 

  68. H. Grauert and R. Remmert, “Komplexe Räume,” Math. Ann.,136, No. 3, 245–318 (1958).

    Google Scholar 

  69. L. Gruman and C. O. Kiselman, “Le problème de Lévi dans les espaces de Banach à base,” C. R. Acad. Sci. Paris,274, No. 17, A1296-A1299 (1972).

    Google Scholar 

  70. R. C. Gunning, “On Cartan's Theorems A and B in several complex variables,” Ann. Mat. Pura ed Appl.,55, 1–11 (1961).

    Google Scholar 

  71. R. C. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall, Englewood Cliffs, N. J. (1965), 317 pp.

    Google Scholar 

  72. E. Hirai, “Domaine d'holomorphie sur un espace projectif complexe,” J. Math. Kyoto Univ.,10, No. 1, 83–102 (1970).

    Google Scholar 

  73. A. Hirschowitz, “Remarques sur les ouverts d'holomorphie d'un produit dénombrable de droites,” Ann. Inst. Fourier,19, No. 1, 219–229 (1969).

    Google Scholar 

  74. A. Hirschowitz, “Sur la géometrie analytique au-dessus des grassmanniennes,” C. R. Acad. Sci. Paris,271, No. 23, A1167-A1179 (1970).

    Google Scholar 

  75. A. Hirschowitz, “A propos du principe d'Oka,” C. R. Acad. Sci. Paris,272, No. 12, A792-A794 (1971).

    Google Scholar 

  76. A. Hirschowitz, “Diverses notions d'ouverts d'analyticité en dimension infinie,” Lect. Notes Math.,205, 11–20 (1971).

    Google Scholar 

  77. L. Hörmander, “L2 estimates and exixtence theorems for the ¯g operator,” Acta Math.,113, No. 1–2, 89–152 (1965).

    Google Scholar 

  78. L. Hörmander, An Introduction to Complex Analysis in Several Variables, Princeton (1966); Russian translation: Introduction to the Theory of Functions of Several Complex Variables, “Mir,” Moscow (1968), 279 pp.

  79. J. Kajiwara, “Note on the Levi problem,” Sci. Repts. Kanazawa Univ.,8, No. 2, 259–270 (1963).

    Google Scholar 

  80. J. Kajiwara, “Relations between domains of holomorphy and multiple Cousin's problems,” Kodai Math. Semin. Repts.,17, No. 4, 261–272 (1965).

    Google Scholar 

  81. J. Kajiwara, “Some extensions of Cartan-Behnke-Stein's theorem,” Publs. Res. Inst. Math. Sci.,A2, No. 1, 133–156 (1966).

    Google Scholar 

  82. J. Kajiwara, “Oka's principle for the extension of holomorphic mappings,” Kodai Math. Semin. Repts.,18, No. 4, 343–346 (1966).

    Google Scholar 

  83. J. Kajiwara, “Oka's principle for the extension of holomorphic mappings. II,” Mem. Fac. Sci. Kyushu Univ.,A21, No. 1, 122–131 (1967).

    Google Scholar 

  84. J. Kajiwara and H. Kazawa, “Oka's principle for relative cohomology sets,” Mem. Fac. Sci. Kyushu Univ.,A23, No. 1, 33–70 (1969).

    Google Scholar 

  85. L. Kaup, “Eine topologische Eigenschaft Steinscher Räume,” Nachr. Akad. Wiss. Göttingen, Math.-Phys. Kl., No. 8, 213–224 [1966(1967)].

    Google Scholar 

  86. C. O. Kiselman, “On entire functions of exponential type and indicators of analytic functionals,” Acta Math.,117, 1–35 (1967).

    Google Scholar 

  87. J. J. Kohn, “Harmonic integrals on strongly pseudo-convex manifolds. I,” Ann. Math.,78, No. 1, 112–148 (1963).

    Google Scholar 

  88. J. J. Kohn, “Harmonic integrals on strongly pseudo-convex manifolds. II,” Ann. Math.,79, No. 3, 450–472 (1964); Russian translation in: Matematika (Periodic Collection of Translations of Foreign Articles),8, No. 1, 108–141 (1964); No. 3, 80–101 (1964).

    Google Scholar 

  89. K. Königsberger, “Über die Holomorphic-Vollständigkeit lokal trivialer Faserräume,” Math. Ann.,189, No. 3, 178–184 (1970).

    Google Scholar 

  90. K. Königsberger, “Komplexe Faserräume mit 1-dimensionalen Fasern,” Math. Ann.,197, No. 4, 319–321 (1972).

    Google Scholar 

  91. B. Kripke, “Finitely-generated coherent analytic sheaves,” Proc. Amer. Math. Soc.,21, No. 3, 530–534 (1969).

    Google Scholar 

  92. H. B. Laufer, “On sheaf cohomology and envelopes of holomorphy,” Ann. Math.,84, No. 1, 102–118 (1966).

    Google Scholar 

  93. B. Lungulescu, “Asupra coomologiei unor varietăti Stein,” Stud. si Cerc. Mat.,22, No. 7, 1049–1053 (1970).

    Google Scholar 

  94. Y. Matsushima and A. Morimoto, “Sur certains espaces fibrés holomorphes sur une variété de Stein,” Bull. Soc. Math. France,88, No. 2, 137–155 (1960).

    Google Scholar 

  95. R. Narasimhan, “Imbedding of holomorphically complete complex spaces,” Amer. J. Math.,82, No. 4, 917–934 (1960); Russian translation in: Matematika (Periodic Collection of Translations of Foreign Articles),8, No. 6, 141–156 (1964).

    Google Scholar 

  96. R. Narasimhan, “The Levi problem for complex spaces. I,” Math. Ann.,142, No. 4, 355–365 (1961); Russian translation in: Complex Spaces, Moscow (1965), pp. 11–28.

    Google Scholar 

  97. R. Narasimhan, “The Levi problem for complex spaces. II,” Math. Ann.,146, No. 3, 195–216 (1962).

    Google Scholar 

  98. R. Narasimhan, “A note on Stein spaces and their normalisations,” Ann. Scuola Norm. Super. Pisa, Sci. Fis. e Mat.,16, No. 4, 327–333 (1962).

    Google Scholar 

  99. R. Narasimhan, “On the homology groups of Stein spaces,” Invent. Math.,2, No. 5, 377–385 (1967).

    Google Scholar 

  100. R. Narasimhan, “On imbeddings of Stein manifolds,” Publs. Ramanujan Inst., Ananda Rau Mem. Vol., No. 1, 155–157 (1968–1969).

    Google Scholar 

  101. R. Narasimhan, “On immersions and imbeddings of Stein manifolds,” Sympos. Math. Inst. Naz. Alta Mat., 1968, Vol. 2, London-New York (1969) pp. 297–301.

    Google Scholar 

  102. T. Nishino, “Sur les espaces analytiques holomorphiquement complets,” J. Math. Kyoto Univ.,1, No. 2, 247–254 (1962).

    Google Scholar 

  103. F. Norguet, “Sur les domaines d'holomorphie des fonctions uniformes de plusiers variables complexes. (Passage du local au global.),” Bull. Soc. Math. France,82, No. 2, 137–159 (1954).

    Google Scholar 

  104. K. Oka, “Sur les fonctions analytiques de plusieurs variables. IX. Domaines finis sans point critique intérieur,” Jap. J. Math.,23, 97–155 (1953).

    Google Scholar 

  105. K. J. Ramspott, “Über die Homotopieklassen holomorpher Abbildungen in homogene komplexe Mannigfaltigkeiten,” Sitzungsber. Bayer. Akad. Wiss. Math.-naturwiss. Kl., 1962, München (1963), pp. 57–62.

  106. K. J. Ramspott, “Stetige und holomorphe Schnitte in Bündeln mit homogener Faser,” Math. Z.,89, No. 3, 234–246 (1965).

    Google Scholar 

  107. K. J. Ramspott, “Eine Charakterisierung der Dimension Steinscher Mannigfaltigkeiten,” Sitzungsber. Bayer. Akad. Wiss. Math.-naturwiss. Kl., 1970, München (1971), pp. 17–23.

  108. R. Richberg, “Stetige streng pseudokonvexe Funktionen,” Math. Ann.,175, No. 4, 257–286 (1968).

    Google Scholar 

  109. H. Röhrl and S. Diego, “Über die Kohomologie berechenbarer Fréchet Garben,” Comment. Math. Univ. Carolinae,10, No. 4, 625–640 (1969).

    Google Scholar 

  110. H. L. Royden, “One-dimensional cohomology in domains of holomorphy,” Ann. Math.,78, No. 1, 197–200 (1963).

    Google Scholar 

  111. S. Sato, “On ideals of meromorphic functions of several complex variables,” Mem. Fac. Sci. Kyushu Univ.,A16, No. 2, 101–113 (1962).

    Google Scholar 

  112. M. Schneider, “Vollständige Durchschnitte in Steinschen Mannigfaltigkeiten,” Math. Ann.,186, No. 3, 191–200 (1970).

    Google Scholar 

  113. J.-P. Serre, “Géométrie algébrique et géométrie analytique,” Ann. Inst. Fourier,6, 1–42 [1955–1956(1956)].

    Google Scholar 

  114. P. Silici, “Une généralisation des théorèmes A et B de Cartan en dimension infinie,” C. R. Acad. Sci. Paris,272, No. 10, A665-A668 (1971).

    Google Scholar 

  115. R. R. Simha, “On the complement of a curve on a Stein space of dimension two,” Math. Z.,82, No. 1, 63–66 (1963).

    Google Scholar 

  116. Yum-Tong Siu, “Non-countable dimensions of cohomology groups of analytic sheaves and domains of holomorphy,” Math. Z.,102, No. 1, 17–29 (1967).

    Google Scholar 

  117. Yum-Tong Siu, “A note on Cartan's theorem's A and B,” Proc. Amer. Math. Soc.,18, No. 5, 955–956 (1967).

    Google Scholar 

  118. Yum-Tong Siu, “A proof of Cartan's theorems A and B,” Tôhoku Math. J.,20, No. 2, 207–213 (1968).

    Google Scholar 

  119. Yum-Tong Siu, “Hilbert Nullstellensatz in global complex-analytic case,” Proc. Amer. Math. Soc.,19, No. 2, 296–298 (1968).

    Google Scholar 

  120. Yum-Tong Siu, “Analytic sheaf cohomology with compact supports,” Compos. Math.,21, No. 1, 52–58 (1969).

    Google Scholar 

  121. Yum-Tong Siu, “Noetherianness of rings of holomorphic functions on Stein compact subsets,” Proc. Amer. Math. Soc.,21, No. 2, 483–489 (1969).

    Google Scholar 

  122. J.-L. Stehle, “Plongements du disque dans C2,” Lect. Notes Math.,275, 119–130 (1970).

    Google Scholar 

  123. K. Stein, “Überlagerungen holomorph-vollständiger komplexer Räume,” Arch. Math.,7, No. 5, 354–361 (1956).

    Google Scholar 

  124. F. Succi, “Il teorema di de Rham olomorfo nel caso relativo. Nota I,” Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. e Natur.,42, No. 6, 784–791 (1967).

    Google Scholar 

  125. F. Succi, “Il teorema di de Rham olomorfo nel caso relativo,” Atti. Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. e Natur.,43, No. 5, 276–280 [1967(1968)].

    Google Scholar 

  126. A. Takeuchi, “Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif,” J. Math. Soc. Jap.,16, No. 2, 159–181 (1964).

    Google Scholar 

  127. A. Takeuchi, “Domaines pseudoconvexes sur les variétés kähleriennes,” J. Math. Kyoto Univ.,6, No. 3, 323–357 (1967).

    Google Scholar 

  128. M. Uzawa, “On Cousin I problem in a domain excluding an analytic set,” Sci. Repts. Tokyo Kyoiku Daigaku,A9, Nos. 220–221, 189–192 (1968).

    Google Scholar 

  129. I. Wakabayashi, “A remark on theorem A for Stein spaces,” J. Math. Soc. Jap.,19, No. 4, 489–492 (1967).

    Google Scholar 

  130. S. Watari, “A theorem on continuous strongly convex functions in complex spaces,” Proc. Kon. Ned. Akad. Wetensch.,A75, No. 1, 62–67 (1972); Indag. Math.,34, No. 1, 62–67 (1972).

    Google Scholar 

  131. K. W. Wiegmann, “Einbettungen komplexer Räume in Zahlenräume,” Invent. Math.,1, No. 3, 229–242 (1966).

    Google Scholar 

  132. K. W. Wiegmann, “Über Quotienten holomorph-konvexer Räume,” Math. Z.,97, No. 4, 251–258 (1967).

    Google Scholar 

  133. K. W. Wiegmann, “Einige Eigenschaften endlichdicht-erzeugter holomorpher Algebra,” Rev. Roum. Math. Pures et Appl.,15, No. 5, 749–759 (1970).

    Google Scholar 

  134. K. W. Wiegmann, “Komplexe Unterstrukturen auf Steinschen Räumen,” Rev. Roum. Math. Pures et Appl.,17, No. 1, 143–155 (1972).

    Google Scholar 

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Translated from Itogi Nauki i Tekhniki (Algebra. Topologiya. Geometriya), Vol. 11, pp. 125–151, 1974.

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Onishchik, A.L. Stein spaces. J Math Sci 4, 540–554 (1975). https://doi.org/10.1007/BF01084049

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