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Literature cited
I. I. Privalov, Boundary Properties of Analytic Functions [in Russian], Gostekhizdat, Moscow-Leningrad (1950).
Yu. I. Mel'nik, “On the representation of regular functions by Dirichlet series in closed convex polygons,” Ukr. Mat. Zh.,29, No. 6, 826–830 (1977).
Yu. I. Mel'nik, “On the representation of regular functions by series of Dirichlet type,” in; Studies in the Theory of Approximation of Functions and Its Applications [in Russian], Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev (1978), pp. 132–141.
A. Zygmund, Trigonometric Series, Oxford Univ. Press.
A. M. Sedletskii, “Bases of exponentials in LP spaces on convex polygons,” Izv. Akad. Nauk SSSR,42, No. 5, 1101–1119 (1978).
V. K. Dzyadyk, “On convergence conditions for Dirichlet series on closed polygons,” Mat. Sb.,95, No. 4, 475–493 (1974).
A. Hunt, On the Convergence of Fourier Series. — Orthogonal Expansions and Their Continuous Analogues (1968), pp. 235–255.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 32, No. 6, pp. 837–843, November–December, 1980.
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Mel'nik, Y.I. Dirichlet series of functions, regular in convex polygons. Ukr Math J 32, 576–581 (1980). https://doi.org/10.1007/BF01087194
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DOI: https://doi.org/10.1007/BF01087194