Markov′s Theorem Revisited Original Research Article

The fact that Markov′s Theorem holds for determinate measures is often overlooked and the theorem is stated for measures with compact support as did Markov. We give a brief survey of the history of the theorem as well as a proof in the determinate case. We also prove a version of Markov′s theorem in the indeterminate case. The results are applied to the shifted moment problem.