On zeros of functions analytic in a half plane and completeness of systems of exponents

Sequences of zeros are described for functionsf, which, in the right half plane, are analytic and satisfy the condition ¦f(z)¦0(1) exp (¦z¦), 0<. A criterion of completeness of a system of exponents in a certain space of functions analytic in a half strip is established.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 484–500, May, 1994.