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Translated from Matematicheskie Zametki, Vol. 29, No. 1, pp. 145–153, January, 1981.
The author would like to thank V. V. Sazanov for his attention to the work and for several useful discussions with him.
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Ul'yanov, V.V. An estimate for the rate of convergence in the central limit theorem in a real separable Hilbert space. Mathematical Notes of the Academy of Sciences of the USSR 29, 78–82 (1981). https://doi.org/10.1007/BF01142519
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DOI: https://doi.org/10.1007/BF01142519