Rajchman measure

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