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On subordination of decomposable fields

Operator Valued Measures And Infinite Dimensional Processes

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Part of the Lecture Notes in Mathematics book series (LNM,volume 695)

Keywords

  • Probability Space
  • Gaussian Process
  • Simple Function
  • Isomorphism Theorem
  • Complete Probability Space

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References

  1. Feldman, J. (1971) Decomposable processes and continuous products of Probability spaces, J. Functional Analysis, 8, 1–51.

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  2. Mandrekar, V. (1975) Multiparameter Gaussian processes and their markov property, Lecture Notes, EPF-Lausanne.

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  3. Mandrekar, V. and Salehi, H. (1970) The square integrability of operator-valued functions with respect to a non-negative operator valued measure and the Kolmogorov isomorphism theorem, Indiana University Math. J. 20, 545–563.

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  4. _____. (1970) Subordination of infinite-dimensional stationary processes. Ann. Inst. Henri Poincaré B, VI, 115–130.

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  5. Neveu, J. (1968) Processus aléatoires gaussiens, Univ. of Montréal Press.

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  6. Shale, D. and Steinspring, W.F. Continuously splittable distributions in Hilbert Space, Illinois J. Math. 10, (1966), 574–578.

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  8. Tortrat, A. (1969) Sur la structure des lois infinilment divisables (classe τ(X)) dans les espaces vectoriels X (sur le cops réel). Z. Wahrscheinlichkeitstheorie 11, 311–326.

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© 1978 Springer-Verlag

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Mandrekar, V. (1978). On subordination of decomposable fields. In: Kallianpur, G., Kölzow, D. (eds) Measure Theory Applications to Stochastic Analysis. Lecture Notes in Mathematics, vol 695. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062667

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  • DOI: https://doi.org/10.1007/BFb0062667

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09098-4

  • Online ISBN: 978-3-540-35556-4

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