On a Theorem of Pólya and Levinson

In the present paper we prove a variation of the Pólya-Levinson interpolation result in the class of entire functions of infraexponential type for the sequences {λn}n ≥ 1 satisfying limn → ∞λn/n = ∞ and |λn − λm| ≥ c|n − m| (that is, without any condition on the asymptotic directions of the sequence).