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On the singularity of functions and the quantization of probability measures

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References

  1. V. I. Bogachev, Foundations of Measure Theory (NITs “Regular and Chaotic Mechanics”, Moscow–Izhevsk, 2003), Pt. 1 [in Russian].

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  2. S. Graf and H. Luschgy, Foundations of Quantization for Probability Distributions, in Lecture Notes in Math. (Springer-Verlag, Berlin, 2000), Vol. 1730.

  3. A. A. Vladimirov and I. A. Sheipak, Funktsional. Anal. Prilozhen. 47 (4), 18 (2013) [Functional Anal. Appl. 47 (4), 261 (2013)].

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  4. Yu. V. Tikhonov, Mat. Zametki 95 (4), 590 (2014) [Math. Notes 95 (3–4), 530 (2014)].

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    Yu. V. Tikhonov, S. V. Shaposhnikov & I. A. Sheipak

  2. Moscow State University Specialized Tuition–Research Center “Kolmogorov School,”, Moscow, Russia

    Yu. V. Tikhonov

  3. National Research University Higher School of Economics, Moscow, Russia

    S. V. Shaposhnikov

Authors
  1. Yu. V. Tikhonov
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  2. S. V. Shaposhnikov
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  3. I. A. Sheipak
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Corresponding author

Correspondence to Yu. V. Tikhonov.

Additional information

Original Russian Text © Yu. V. Tikhonov, S. V. Shaposhnikov, I. A. Sheipak, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 4, pp. 628–631.

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Tikhonov, Y.V., Shaposhnikov, S.V. & Sheipak, I.A. On the singularity of functions and the quantization of probability measures. Math Notes 102, 587–590 (2017). https://doi.org/10.1134/S0001434617090334

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  • DOI: https://doi.org/10.1134/S0001434617090334

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