Characterizations of measures whose Fourier-Stieltjes transforms vanish at infinity
HTML articles powered by AMS MathViewer
- by Russell Lyons PDF
- Bull. Amer. Math. Soc. 10 (1984), 93-96
References
- R. C. Baker, A diophantine problem on groups. IV, Illinois J. Math. 18 (1974), 552–564. MR 354590, DOI 10.1215/ijm/1256051006
- N. K. Bari, The uniqueness problem of the representation of functions by trigonometric series, Amer. Math. Soc. Translation 1951 (1951), no. 52, 90. MR 0043243
- Jean-Pierre Kahane, Sur les mauvaises répartitions modulo $1$, Ann. Inst. Fourier (Grenoble) 14 (1964), no. fasc. 2, 519–526 (French). MR 174545, DOI 10.5802/aif.187
- J.-P. Kahane and R. Salem, Distribution modulo $1$ and sets of uniqueness, Bull. Amer. Math. Soc. 70 (1964), 259–261. MR 158216, DOI 10.1090/S0002-9904-1964-11108-3
- Yu. A. Šreĭder, On the Fourier-Stieltjes coefficients of functions of bounded variation, Doklady Akad. Nauk SSSR (N.S.) 74 (1950), 663–664 (Russian). MR 0037925 6. A. Zygmund, Trigonometric series, 2nd ed., reprinted, Vols. I, II, Cambridge Univ. Press, Cambridge, 1979.
Additional Information
- Journal: Bull. Amer. Math. Soc. 10 (1984), 93-96
- MSC (1980): Primary 43A25; Secondary 43A10, 42A63, 43A46, 42A55, 10K05, 10K25, 10K50
- DOI: https://doi.org/10.1090/S0273-0979-1984-15198-X
- MathSciNet review: 722859