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Asymptotic expansion of the Fourier-Stieltjes transform of a finite measure in a neighborhood of zero

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Literature cited

  1. L. V. Rozovskii, “On the accuracy of approximation of characteristic functions by polynomials,” J. Sov. Math.,36, No. 4 (1987).

  2. M. Loève, Probability Theory, 2nd edn., Van Nostrand, Princeton, N. J. (1960).

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  3. L. V. Rozovskii, “On a lower estimate for the remainder term in the central limit theorem,” Mat. Zametki,24, No. 3, 411–418 (1978).

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  4. L. V. Rozovskii, “On the accuracy of approximation of distribution functions of sums of independent random variables by certain infinitely divisible distributions,” Abstracts of 4th Vilnius Conference, Vol. 3 (1985), pp. 74–76.

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Translated from Matematicheskii Zametki, Vol. 43, No. 4, pp. 558–572, April, 1988.

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Rozovskii, L.V. Asymptotic expansion of the Fourier-Stieltjes transform of a finite measure in a neighborhood of zero. Mathematical Notes of the Academy of Sciences of the USSR 43, 321–329 (1988). https://doi.org/10.1007/BF01139139

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  • DOI: https://doi.org/10.1007/BF01139139

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