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Denjoy problems

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Ukrainian Mathematical Journal Aims and scope

We solve Denjoy problems concerning the elimination of singularities of analytic functions of measure zero.

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References

  1. A. Denjoy, “Sur les fonctions analytiques uniformes qui restent continues sur un ensemble parfait discontinu de singularités,” C. R. Acad. Sci. Paris, 148, 1154–1156 (1909).

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  3. V. S. Fedorov, “On sequences of curvilinear integrals,” Mat. Sb., 6, 53–66 (1939).

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  4. Yu. Yu. Trokhimchuk, “Theorem on an implicit function with singularities,” Zb. Pr. Inst. Mat. NAN Ukr., 2, No. 3, 262–272 (2006).

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  5. Yu. Yu. Trokhimchuk, Removable Singularities of Analytic Functions [in Russian], Naukova Dumka, Kiev (1992).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kyiv, Ukraine

    Yu. Yu. Trokhymchuk

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  1. Yu. Yu. Trokhymchuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 718–720, May, 2008.

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Trokhymchuk, Y.Y. Denjoy problems. Ukr Math J 60, 828–830 (2008). https://doi.org/10.1007/s11253-008-0084-x

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  • DOI: https://doi.org/10.1007/s11253-008-0084-x

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