In mathematics, a Rajchman measure, studied by Rajchman (1928), is a regular Borel measure on a locally compact group such as the circle, whose Fourier transform vanishes at infinity.
References Lyons, Russell (1995), "Seventy years of Rajchman measures" (PDF), Proceedings of the Conference in Honor of Jean-Pierre Kahane (Orsay, 1993), The Journal of Fourier Analysis and Applications: 363–377, ISSN 1069-5869, MR 1364897 Rajchman, A. (1928), "Sur une classe de fonctions à variation bornée", C. R. Acad. Sci. Paris, 187: 1026–1028