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References

  1. P. Deheuvels. Invariance of Wiener processes and of Brownian bridges by integral transforms and applications. Stochastic Processes and their Applications 13, 311-318, 1982.
  2. P. Embrechts, M. Maejima. Selfsimilar Processes. Princeton University Press, 2002.
  3. A. Erdélyi, W. Magnus, F. Oberhettinger, F.G. Tricomi. Tables of integral transforms, Volume 1. McGraw-Hill Book Company, Inc., 1954.
  4. T. Hida, M. Hitsuda. Gaussian Processes. Translations of Mathematical Monographs 120, American Mathematical Society, 1993.
  5. S.T. Huang, S. Cambanis. Stochastic and Multiple Wiener Integrals for Gaussian Processes. Annals of Probability 6(4), 585-614, 1978.
  6. T. Jeulin, M. Yor. Filtration des ponts browniens et équations différentielles stochastiques linéaires. Séminaire de probabilités de Strasbourg 24, 227-265, 1990.
  7. C. Jost. Measure-preserving transformations of Volterra Gaussian processes and related bridges. [arXiv:math.PR/0701888]
  8. G.M. Molchan. Linear problems for a fractional Brownian motion: group approach. Theory of Probability and its Applications 47 (1), 69-78, 2003.
  9. I. Norros, E. Valkeila, J. Virtamo. An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions. Bernoulli 5(4), 571-587, 1999.
  10. G. Peccati. Explicit formulae for time-space Brownian chaos. Bernoulli 9(1), 25-48, 2003.
  11. K. Petersen. Ergodic theory. Cambridge University Press, 1983.
  12. A.N. Shiryaev. Probability, Second Edition. Springer, 1989.
  13. A.M. Yaglom. Correlation Theory of Stationary and Related Random Functions, Volume 1: Basic Results. Springer, 1987.


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