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On proper holomorphic mappings of strictly pseudoconvex domains

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Literature Cited

  1. W. Rudin, Function Theory in Polydiscs, W. A. Benjamin, Inc., New York-Amsterdam (1969).

    Google Scholar 

  2. D. A. Eisenman, “Proper holomorphic self-maps of the unit ball,” Math. Ann.,190, No. 4, 298–305 (1971).

    Google Scholar 

  3. G. A. Margulis, Correspondence of Boundaries during Biholomorphic Mapping of Multidimensional Domains. Theses of Reports of All-Union Conference on the Theory of Complex Variable Functions [in Russian], FTINT, Khar'kov (1971).

    Google Scholar 

  4. B. S. Mityagin and G. M. Khenkin, “Linear problems of a complex analysis,” Uspekhi Matem. Nauk,26, No. 4, 93–152 (1971).

    Google Scholar 

  5. B. N. Khimchenko, “The behavior of a superharmonic function near the boundary of a domain of the type A(′),” Differents. Uravneniya,1, No. 10, 1845–1853 (1969).

    Google Scholar 

  6. M. V. Keldysh and M. A. Lavrent'ev, “The uniqueness of Neiman's problem,” Dokl. Akad. Nauk SSSR,16, No. 1, 151–152 (1937).

    Google Scholar 

  7. R. Hanning and Ch. Rossi, Analytical Functions of Many Complex Variables [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  8. H. Grauert and R. Remmert, Plurisubharmonische Funktionen in Komplexen Räumen, Meth. Z.,65, 175–194 (1956).

    Google Scholar 

  9. B. A. Fuks, Special Chapters of the Theory of Analytical Functions of Many Complex Variables [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  10. L. Khermander, “Evaluation in L2 and existence theorems for operator\(\bar \partial \),” Translations of Foreign Articles; Matematika,10, No. 2, 59–116 (1966).

    Google Scholar 

  11. G. M. Khenkin, “Integral presentation of functions in strictly pseudoconvex domains and the application to the\(\bar \partial \) problem,” Matem. Sbornik,82, No. 2, 300–308 (1970).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 15, No. 4, pp. 909–917, July–August, 1974.

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Pinchuk, S.I. On proper holomorphic mappings of strictly pseudoconvex domains. Sib Math J 15, 644–649 (1974). https://doi.org/10.1007/BF00967440

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