In the mathematics of topological vector spaces, Minlos's theorem states that a cylindrical measure on the dual of a nuclear space is a Radon measure if its Fourier transform is continuous. It is named after Robert Adol'fovich Minlos and can be proved using Sazonov's theorem.
References Minlos, R. A. (1963), Generalized random processes and their extension to a measure, Selected Transl. Math. Statist. and Prob., vol. 3, Providence, R.I.: Amer. Math. Soc., pp. 291–313, MR 0154317 Schwartz, Laurent (1973), Radon measures on arbitrary topological spaces and cylindrical measures, Tata Institute of Fundamental Research Studies in Mathematics, London: Oxford University Press, pp. xii+393, MR 0426084