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Stochastic Integrals

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 851))

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References

  1. R. ABRAHAM and J.E. MARSDEN, Foundations of Mechanics, second edition (Benjamin/Cummings), 1978.

    Google Scholar 

  2. C. DELLACHERIE, Un survoi de la théorie de l'intégrale stochastique, Stoch. Proc. Appl. 10, 115–144 (1980).

    Article  MathSciNet  MATH  Google Scholar 

  3. C. DELLACHERIE and P.-A. MEYER, Probabilités et Potentiel (Hermann): Vol.I, 1975; Vol.II, 1980.

    Google Scholar 

  4. C. DE WITT-MORETTE, K.D. ELWORTHY, B.L. NELSON, and G.S. SAMMELSON, A stochastic scheme for constructing solutions of the Schrödinger equations, Ann. Inst. H. Poincaré, Section A, Vol.XXXII, 327–341, 1980.

    MATH  Google Scholar 

  5. L. HÖRMANDER, Hypoelliptic second-order differential equations, Acta Math. 119, 147–171, 1967.

    Article  MathSciNet  MATH  Google Scholar 

  6. L. HÖRMANDER, Linear Partial Differential Operators (Springer), 1963.

    Google Scholar 

  7. N. IKEDA and S. WATANABE, Stochastic Differential Equations and Diffusion Processes, (Kodansha, Wiley), 1980.

    MATH  Google Scholar 

  8. J. JACOD, A general representation theorm for martingales, in Probability (ed. J.L. Doob), Proc. Symp. Pure Math. XXXI, (American Mathematical Society), 1977.

    Google Scholar 

  9. J. JACOD, Calcul Stochastique et Problèmes de Martingales, Springer Lecture Notes in Math. 714, 1979.

    Google Scholar 

  10. J.J. KOHN, Pseudo-differential operators and hypoellipticity, in Partial Differential Equations, Proc. Symp. Pure Math. XXIII (American Mathematical Society), 1973.

    Google Scholar 

  11. R.S. LIPTSER and A.N. SHIRYAYEV, Statistics of Random Processes, I: General Theory (Springer), 1977.

    Google Scholar 

  12. P. MALLIAVIN, Stochastic calculus of variation and hypoelliptic operators, Proc. Intern. Symp. SDE (ed. K. Itô).

    Google Scholar 

  13. H.P. McKEAN, Stochastic Integrals (Academic Press), 1969.

    Google Scholar 

  14. H.P. McKEAN, Geometry of differential space, Ann. Prob. 1, 197–206, 1973.

    Article  MathSciNet  MATH  Google Scholar 

  15. M. MÉTIVIER and J. PELLAUMAIL, Stochastic Integration (Academic Press) 1980.

    Google Scholar 

  16. P.-A. MEYER, Un cours sur les intégrales stochastiques, Séminaire de Probabilités X, Springer Lecture Notes in Math. 511, 245–400, 1976.

    MATH  Google Scholar 

  17. P.-A. MEYER, Geometrie stochastique sans larmes, to appear in Séminaire de Probabilités XV, Springer Lecture Notes in Math.

    Google Scholar 

  18. E. NELSON, The free Markov field, J. Funct. Anal. 12, 211–227 (1973).

    Article  MATH  Google Scholar 

  19. J. NEVEU, Sur l'espérance conditionelle par rapport à un mouvement brownien, Ann. Inst. H. Poincaré, Section B, Vol.XII No.2, 105–109, 1976.

    MathSciNet  MATH  Google Scholar 

  20. O.A. OLEINIK and E.V. RADKEVIČ, Second order equations with nonnegative characteristic form (English translation), Plenum Press, 1973.

    Google Scholar 

  21. W. RUDIN, Functional Analysis (McGraw-Hill), 1973.

    Google Scholar 

  22. D.W. STROOCK, The Malliavin calculus and its application to parbolic differential equations

    Google Scholar 

  23. D.W. STROOCK and S.R.S. VARADHAN, Multidimensional Diffusion Processes (Springer), 1979.

    Google Scholar 

  24. D.W. STROOCK and M. YOR, On extremal solutions to martingale problems (to appear).

    Google Scholar 

  25. D. WILLIAMS, Review of [23] in Bull. Amer. Math. Soc. (New Series) 2, 493–503, 1980.

    Article  Google Scholar 

  26. T. YAMADA and S. WATANABE, On the uniqueness of solutions to stochastic differential equations: I, II, J. Math. Kyoto Univ. 11, 155–167 and 553–563, 1971.

    MathSciNet  MATH  Google Scholar 

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David Williams

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© 1981 Springer-Verlag

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Williams, D. (1981). “To begin at the beginning: …”. In: Williams, D. (eds) Stochastic Integrals. Lecture Notes in Mathematics, vol 851. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088721

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  • DOI: https://doi.org/10.1007/BFb0088721

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10690-6

  • Online ISBN: 978-3-540-38613-1

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