Abstract
Sequences of zeros are described for functionsf, which, in the right half plane, are analytic and satisfy the condition ¦f(z)¦≤0(1) exp (σ¦z¦), 0≤σ<∞. A criterion of completeness of a system of exponents in a certain space of functions analytic in a half strip is established.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 484–500, May, 1994.
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Vinnitskii, B.V. On zeros of functions analytic in a half plane and completeness of systems of exponents. Ukr Math J 46, 514–532 (1994). https://doi.org/10.1007/BF01058515
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DOI: https://doi.org/10.1007/BF01058515