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Characterizations of measures whose Fourier-Stieltjes transforms vanish at infinity
Author(s):
Russell
Lyons
Journal:
Bull. Amer. Math. Soc.
10
(1984),
93-96.
MSC (1980):
Primary 43A25;
Secondary 43A10, 42A63, 43A46, 42A55, 10K05, 10K25, 10K50
MathSciNet review:
722859
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Additional information
References:
- 1.
- R. C. Baker, A diophantine problem on groups. IV, Illinois J. Math. 18 (1974), 552-564. MR 354590
- 2.
- N. K. Bari, The uniqueness problem of the representation of functions by a trigonometric series, Amer. Math. Soc. Transl. No. 52, (1951), 1-89. MR 43243
- 3.
- J.-P. Kahane, Sur les mauvaises répartitions modulo 1, Ann. Inst. Fourier (Grenoble) 14 (1964), 519-526. MR 174545
- 4.
- J.-P. Kahane and R. Salem, Distribution modulo 1 and sets of uniqueness, Bull. Amer. Math. Soc. 70 (1964), 259-261. MR 158216
- 5.
- Ju. A. Šreĭder, On the Fourier-Stieltjes coefficients of functions with bounded variation, Dokl. Akad. Nauk SSSR 74 (1950), 663-664. (Russian) MR 37925
- 6.
- A. Zygmund, Trigonometric series, 2nd ed., reprinted, Vols. I, II, Cambridge Univ. Press, Cambridge, 1979.
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43A25, 43A10, 42A63, 43A46, 42A55, 10K05, 10K25, 10K50
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43A25, 43A10, 42A63, 43A46, 42A55, 10K05, 10K25, 10K50
Additional Information:
DOI:
10.1090/S0273-0979-1984-15198-X
PII:
S 0273-0979(1984)15198-X
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