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Stochastic integration with respect to multiparameter Gaussian processes

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Stochastic Differential Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 36))

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References

  1. M. Loeve: "Probability Theory. 3rd ed." Van Nostrand, Princeton, 1963

    Google Scholar 

  2. W. Rudin: "Principles of Mathematical Analysis". McGrav-Hill, New York, 1964

    Google Scholar 

  3. M. Reed — B. Simon: "Methods of Modern Mathematical Physics. Volume 1." Academic Press, New York, 1972

    Google Scholar 

  4. B. Simon: "The p(ρ)2 Euclidian /Quantum/ Field Theory.Princeton Univ. Press, Princeton, 1974. Princeton Univ. Press, Princeton, 1974.

    Google Scholar 

  5. G.Ciucu — C.Tudor: "Probabilitati si Procese Stocastice. Volume 1." Ed.Academiei, Bucuresti, 1978

    Google Scholar 

  6. Yu. Daleckii — S. Paramonova: Stochastic Integrals with Respect to Normal Distributed Additive Set Functions. Doklady Acad.Nauk SSSR 208, 512–515 /1973/.

    Google Scholar 

  7. J. Yeh: Stochastic Integral of L2-function with Respect to Gaussian Process. Tohoku Math.J.27, 175–186 /1975/.

    Google Scholar 

  8. S. Huang — S. Cambanis: Stochastic and Multiple Wiener Integrals for Gaussian Processes. Ann.Probability 6, 585–614 /1978/.

    Google Scholar 

  9. J. Stoyanov — O. Enchev: Stochastic Integrals for Gaussian Random Processes. C.R.Acad.Bulg.Sci. 32, 1467–1470 /1979/.

    Google Scholar 

  10. O. Enchev — J. Stoyanov: Stochastic Integrals for Gaussian Random Functions. Stochastics 3, 277–289 /1980/.

    Google Scholar 

  11. O.Enchev: Stochastic Integrals with Respect to Multiparameter Gaussian Random Processes. In the book: "Mathematics and Mathematical Education. Proc. 9th Spring Conference of the Bulg. Math.Society, Sunny Beach, April, 1980". pp.128–132.

    Google Scholar 

  12. O.Enchev: Integration with Respect to Wick Powers of Gaussian Random Measures. Differential Formula. C.R.C.Acad.Bulg.Sci. Vol.34 /1981/ NO.6.

    Google Scholar 

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M. Arató D. Vermes A. V. Balakrishnan

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© 1981 Springer-Verlag

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Stoyanov, J.M., Enchev, O.B. (1981). Stochastic integration with respect to multiparameter Gaussian processes. In: Arató, M., Vermes, D., Balakrishnan, A.V. (eds) Stochastic Differential Systems. Lecture Notes in Control and Information Sciences, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006423

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  • DOI: https://doi.org/10.1007/BFb0006423

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  • Print ISBN: 978-3-540-11038-5

  • Online ISBN: 978-3-540-38564-6

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