Geodesic
On uniqueness theorem for a~class of functions analytic in a~halfplane
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2016), pp. 3-7.

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We obtain a uniqueness theorem for a class of analytic functions of exponential type in a halfplane.
Keywords: analytic function, singular limit function. 
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B. V. Vinnitskii; T. I. Hishchak. On uniqueness theorem for a~class of functions analytic in a~halfplane. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2016), pp. 3-7. http://geodesic.mathdoc.fr/item/IVM_2016_4_a0/

[1] Levin B. Ya., Lectures on entire functions, AMS, Providence, RI, 1996 | MR | Zbl

[2] Kusis P. L., Vvedenie v teoriyu prostranstv $H^p$, Nauka, M., 1984 | MR

[3] Evgrafov M. A., Asimptoticheskie otsenki i tselye funktsii, Nauka, M., 1979 | MR

[4] Zhang Y. H., Deng G. T., Kou K. I., “On the lower bound for a class of harmonic functions in the half space”, Acta Math. Sci., 32:4 (2012), 1487–1494 | DOI | MR | Zbl

[5] Govorov N. V., Kraevaya zadacha Rimana s beskonechnym indeksom, Nauka, M., 1986 | MR

[6] Anderson J. M., “Muntz–Szasz type approximation and the angular growth of lacunary integral functions”, Trans. Amer. Math. Soc., 169:7 (1972), 237–248 | MR | Zbl

[7] Fuchs W. H. J., “A generalization of Carlson's theorem”, J. London Math. Soc., 21 (1946), 106–110 | DOI | MR | Zbl