Rajchman measure

As Rajchman measure (by Aleksander Rajchman ) is referred to in the mathematical field of measure theory those finite Borel extent on converged whose Fourier coefficient sequence against 0th The unit circle denotes , or and the kth Fourier coefficient of a measure is defined as . ${\displaystyle \mathbb {T} }$ ${\displaystyle \mathbb {T} }$ ${\displaystyle \mathbb {R} \backslash \mathbb {Z} }$ ${\displaystyle \left[0,1\right)}$ ${\displaystyle \mu }$ ${\displaystyle c_{k}^{(\mu )}=\int \limits _{\mathbb {T} }z^{-k}d\mu }$

literature

• Russel Lyons: Seventy Years of Rajchman Measures. In: Proceedings of the Conference in Honor of Jean-Pierre Kahane. Orsay, June 28 - July 3, 1993 (= The Journal of Fourier Analysis and Applications. Special Issue). CRC Press, Boca Raton FL 1995, ISBN 0-8493-1515-8 , pp. 363-377.