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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

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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References | Similar articles | Additional information

References:

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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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Additional Information:

DOI: 10.1090/S0273-0979-1984-15198-X
PII: S 0273-0979(1984)15198-X




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