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Absolutely regular trajectories in Hilbert space

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Literature cited

  1. Yu. A. Rozanov, Stationary Random Processes [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  2. I. A. Ibragimov and Yu. A. Rozanov, Gaussian Random Processes [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  3. I. A. Ibragimov and V. N. Solev, “A regularity condition for a Gaussian stationary process,” Dokl. Akad. Nauk SSSR,185, No. 3 (1969).

  4. I. Ts. Gokhberg and M. G. Krein, Introduction to the Theory of Linear Nonself-Adjoint Operators [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  5. V. N. Solev, “A condition for the linear regularity of a stationary vector-valued sequence,” Sem. Math., Vol. 12, CB, NY-L (71), p. 61.

  6. V. M. Adamyan, D. Z. Arov, and M. G. Krein, “Infinite Hankel matrices and the generalized Carathéodory-Fejér and Schur problems,” Funktsional. Analiz i Ego Prilozhen.,2, No. 4 (1968).

  7. K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall (1962).

  8. A. Zygmund, Trigonometric Series, Vol. 1, Cambridge Univ. Press (1959).

  9. A. F. Timan, Theory of Approximation of Functions of a Real Variable [in Russian], Fizmatgiz, Moscow (1960).

    Google Scholar 

  10. D. Ya. Levin, Distribution of the Roots of Entire Functions [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 22, pp. 139–160, 1971.

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Solev, V.N. Absolutely regular trajectories in Hilbert space. J Math Sci 2, 174–192 (1974). https://doi.org/10.1007/BF01099675

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  • DOI: https://doi.org/10.1007/BF01099675

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