We solve Denjoy problems concerning the elimination of singularities of analytic functions of measure zero.
Similar content being viewed by others
References
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).
V. V. Golubev, “Single-valued analytic functions,” in: Analytic Functions with Perfect Set of Singular Points [in Russian], Fizmatgiz, Moscow (1961), pp. 13–194.
V. S. Fedorov, “On sequences of curvilinear integrals,” Mat. Sb., 6, 53–66 (1939).
Yu. Yu. Trokhimchuk, “Theorem on an implicit function with singularities,” Zb. Pr. Inst. Mat. NAN Ukr., 2, No. 3, 262–272 (2006).
Yu. Yu. Trokhimchuk, Removable Singularities of Analytic Functions [in Russian], Naukova Dumka, Kiev (1992).
Author information
Authors and Affiliations
Additional information
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 718–720, May, 2008.
Rights and permissions
About this article
Cite this article
Trokhymchuk, Y.Y. Denjoy problems. Ukr Math J 60, 828–830 (2008). https://doi.org/10.1007/s11253-008-0084-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11253-008-0084-x