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Singular integrals and second-order stationary sequences

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Probability Theory on Vector Spaces IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1391))

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References

  1. A. Benedek, A. P. Calderón, R. Panzone, Convolution operators on Banach space valued functions, Proc. Nat. Acad. Sci. U. S. A. 48 (1962), 356–365.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. T. Campbell, Spectral analysis of the ergodic Hilbert transform, Indiana Univ. Math. J. 35 (1986), 379–390.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. E. Edwards, Fourier Series. A Modern Introduction, Springer-Verlag, New York-Heidelberg-Berlin, 1979.

    Book  MATH  Google Scholar 

  4. V. F. Gaposhkin, A theorem on almost everywhere convergence of a sequence of measurable functions and its application to sequences of stochastic integrals, Mat. Sb. 104 (1977), 3–21 (in Russian).

    MathSciNet  Google Scholar 

  5. V. F. Gaposhkin, Criteria for the strong law of large numbers for some classes of second-order stationary processes and homogenous random fields, Teor. Veroyatn. Primen. 22 (1977), 295–319 (in Russian).

    Google Scholar 

  6. V. F. Gaposhkin, On the individual ergodic theorem for normal operators in L2, Funkts. Analiz Prilozh. 15 (1981), 18–22 (in Russian).

    Article  MathSciNet  MATH  Google Scholar 

  7. J. Garcīa-Cuerva, J. L. Rubio de Francia, Weighted Norm Inequalities and Related Topics, North-Holland, Amsterdam 1985.

    MATH  Google Scholar 

  8. E. Hensz, R. Jajte, Pointwise convergence theorems in L2 over a von Neumann algebra, Math. Z. 193 (1986), 413–429.

    Article  MathSciNet  MATH  Google Scholar 

  9. U. Krengel, Ergodic Theorems, de Gruyter, Berlin-New York, 1985.

    Book  MATH  Google Scholar 

  10. E. Ostrow, E. M. Stein, A generalization of lemmas of Marcinkiewicz and Fein with applications to singular integrals, Ann. Scuola Norm. Sup. Pisa 11 (1957), 117–135.

    MathSciNet  MATH  Google Scholar 

  11. N. Riviere, Singular integrals and multiplier operators, Ark. Mat. 9 (1971), 243–278.

    Article  MathSciNet  MATH  Google Scholar 

  12. K. Samotij, On the convergence of the series Σ Kn (Un − U−n), These Proceedings.

    Google Scholar 

  13. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, N. J., 1970.

    MATH  Google Scholar 

  14. J. Woś, On Marcinkiewicz-Zygmund law of large numbers and Cesàro limitability of ergodic averages (to appear).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, Technical University, Wybrzeże Wyspiańskiego 27, 50-370, Wroclaw, Poland

    Janusz Woś

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  1. Janusz Woś
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Stamatis Cambanis Aleksander Weron

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© 1989 Springer-Verlag

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Woś, J. (1989). Singular integrals and second-order stationary sequences. In: Cambanis, S., Weron, A. (eds) Probability Theory on Vector Spaces IV. Lecture Notes in Mathematics, vol 1391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083407

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  • DOI: https://doi.org/10.1007/BFb0083407

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51548-7

  • Online ISBN: 978-3-540-48244-4

  • eBook Packages: Springer Book Archive

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