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Representation of analytic functions by dirichlet series on the boundaries of closed convex polygon domains

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Literature cited

  1. A. F. Leont'ev, “Conditions for convergence of Dirichlet series in convex domains,” Izv. Akad. Nauk SSSR, Ser. Matem.,36, No. 3 (1972).

  2. V. K. Dzyadyk, “Conditions for convergence of Dirichlet series on closed polygons,” Matem. Sb.,95. (137), No. 4 (12) (1974).

  3. A. F. Leont'ev, “Representation of analytic functions in closed convex domains by Dirichlet series,” Izv. Akad. Nauk SSSR, Ser. Matem.,37, No. 3 (1973).

  4. V. K. Dzyadyk and E. K. Krutigolova, “Representation of analytic functions by Dirichlet series on the boundary of the domain of convergence,” Matem. Zametki,14, No. 6 (1973).

  5. A. F. Leont'ev, “Representation of functions by generalized Dirichlet series,” Usp. Matem. Nauk,24, No. 2 (146) (1969).

  6. A. I. Markushevich, The Theory of Analytic Functions [in Russian], Vol. 1, Nauka, Moscow (1967).

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Translated from Ukrainskii Matematicheskii ZhurnaL, Vol. 27, No. 4, pp. 516–521, July–August, 1975.

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Krutigolova, E.K. Representation of analytic functions by dirichlet series on the boundaries of closed convex polygon domains. Ukr Math J 27, 420–424 (1975). https://doi.org/10.1007/BF01085591

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  • DOI: https://doi.org/10.1007/BF01085591

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