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Linearly convex regions with smooth boundaries

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Literature cited

  1. A. P. Yuzhakov and V. P. Krivokolesko, “Certain properties of linearly convex domains with smooth boundaries in ℂn,” Sib. Mat. Zh.,12, No. 2, 452–458 (1971).

    Google Scholar 

  2. L. A. Aizenberg, “The expansion of holomorphic functions of several complex variables in partial fractions,” Sib. Mat. Zh.,8, No. 5, 1224–1242 (1967).

    Google Scholar 

  3. Yu. B. Zelinskii, “On complex envelopes,” in: Second All-Union Conference: Lavrent'ev Lectures in Mathematics, Mechanics, and Physics [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1985), pp. 95–97.

    Google Scholar 

  4. Yu. B. Zelinskii, “On a geometric criterion for strong linear convexity,” in: Geometric Theory of Functions and Topology [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1981), pp. 18–29.

    Google Scholar 

  5. E. Spanier, Algebraic Topology, McGraw-Hill, New York (1966).

    Google Scholar 

  6. P. S. Aleksandrov, Introduction to the Homological Theory of Dimension [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  7. L. Ya. Makarova, “Sufficient conditions for the linear convexity of regions with almost-smooth boundary,” in: Holomorphic Functions of Several Complex Variables [in Russian], Inst. Fiz., Sib. Otd., Akad. Nauk Ukr. SSR, Krasnoyarsk (1976), pp. 87–96.

    Google Scholar 

  8. B. S. Zinov'ev, “Analytic conditions and certain questions of the approximation of lin-early convex domains with smooth boundaries in the space ℂn,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 61–69 (1971).

    Google Scholar 

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Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev

    Yu. B. Zelinskii

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  1. Yu. B. Zelinskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 1, pp. 53–58, January–February, 1988.

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Zelinskii, Y.B. Linearly convex regions with smooth boundaries. Ukr Math J 40, 44–48 (1988). https://doi.org/10.1007/BF01056445

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  • DOI: https://doi.org/10.1007/BF01056445

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