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Kolmogorov's ε-entropy of some Gaussian processes

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References

  1. Y. Baba, “On ε-entropy of Gaussian processes,” (in Japanese),Jour. of Kobe Univ. of Commerce, 18 (1966), 422–430.

    Google Scholar 

  2. R. Courant and D. Hilbert,Methoden der mathematischen Physik I, Springer, 1931.

  3. J. L. Doob, “The elementary Gaussian processes,”Ann. Math. Statist., 15 (1944), 229–282.

    Article  MATH  MathSciNet  Google Scholar 

  4. И, М. Гельфанд, А. Н. Колмогоров, А. М. Яглом, “Количество информации и знтропия для непрерывных распределений,” Доклад на третьем Всесоюзном математическом съезде, 1956.

  5. T. Hida, “Canonical representations of Gaussian processes and their applications,”Memoirs of the College of Sci., Kyoto Univ., Series A, 13 Math. No. 1 (1960), 109–155.

    MathSciNet  Google Scholar 

  6. P. Lévy, “A special problem of Brownian motion, and a general theory of Gaussian random functions.”Third Berkeley Symposium, (1956), 133–175.

  7. М. С. Пинскер, “Гауссовские Источники,” Провлемы Передачи Информации, 14 (1963), 59–100.

    Google Scholar 

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Kazi, K. Kolmogorov's ε-entropy of some Gaussian processes. Ann Inst Stat Math 19, 479–503 (1967). https://doi.org/10.1007/BF02911699

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  • DOI: https://doi.org/10.1007/BF02911699

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