Remarks on converse Carleman and Krein criteria for the classical moment problem
The paper deals with the Carleman and Krein conditions for the Hamburger and Stieltjes moment problems. The author reviews and discusses these conditions and the connection to some results of \textit{P. Koosis} [The logarithmic integral. Vol. I., Cambridge University Press, Cambridge (1988; Zbl 0665.30038)] and \textit{G. D. Lin} [Stat. Probab. Lett. 35, No. 1, 85-90 (1997; Zbl 0904.62021)]. The principle aim of the paper is to provide an unified account of the Koosis and Lin results and to generalize them. The author also simplifies and streamlines some existing proofs.
scientific article; zbMATH DE number 1659328