Rajchman measure

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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.


  • Lyons, Russell (1995), Seventy years of Rajchman measures, "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