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Remarques sur l’intégrale de Riemann généralisée

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Part of the Lecture Notes in Mathematics book series (SEMPROBAB,volume 1626)

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Bibliographie

  1. R.-G. Bartle “A general bilinear vector integral”, Studia Math. 15, 337–352 (1956).

    MathSciNet  MATH  Google Scholar 

  2. R.O. Davies et Z. Schuss “A proof that Henstock’s integral includes Lebesgue’s”, J. London Math. Soc. (2) 2, 561–562 (1970).

    MathSciNet  MATH  Google Scholar 

  3. C. Dellacherie et P.-A. Meyer “Probabilités et Potentiel” Chapitres V à VIII. Hermann, Paris (1980).

    MATH  Google Scholar 

  4. D.H. Fremlin (i) (with J. Mendoza) “On the integration of vector-valued functions”, Illinois J. Math. 38, 127–147 (1994) (ii) “The Henstock and McShane integrals of vector-valued functions”, Illinois J. Math. 38, 471–479 (1994).

    MathSciNet  MATH  Google Scholar 

  5. R.A. Gordon “The McShane integral of Banach-valued functions”, Ilinois J. Math. 34, 557–567 (1990).

    MathSciNet  MATH  Google Scholar 

  6. R. Henstock “The general theory of integration”. Clarendon Press, Oxford (1991).

    MATH  Google Scholar 

  7. G. Letta “Martingales et intégration stochastique”. Scuola Normale Superiore, Pisa (1984).

    MATH  Google Scholar 

  8. M. Métivier et J. Pellaumail “Stochastic integration”. Academic Press, New York (1980).

    MATH  Google Scholar 

  9. R.M. McLeod “The generalized Riemann integral”. The Mathematical Association of America (1980).

    Google Scholar 

  10. E.J. McShane (i) (with T.A. Botts) “A modified Riemann-Stieltjes integral”, Duke Math. J. 19, 293–302 (1952) (ii) “A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals”, Memoirs of the Amer-Math. Soc. Nov. 88 (1969). (iii) “A unified theory of integration”, Amer. Math. Monthly 80, 349–359 (1973) (iv) “Stochastic calculus and stochastic models”. Academic Press, New York (1974) (v) “Unified integration”. Academic Press, New York (1983).

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. J. Neveu “Bases mathématiques du calcul des probabilités”. Masson, Paris (1964).

    MATH  Google Scholar 

  12. I.N. Pesin “Classical and modern integration theories” (translated and edited by S. Kotz). Academic Press, New York (1970).

    MATH  Google Scholar 

  13. W.F. Pfeffer “The Riemann approach to integration”. Cambridge University Press (1993).

    Google Scholar 

  14. P. Protter “Stochastic integration and differential equations”. Springer-Verlag, Berlin (1990).

    CrossRef  MATH  Google Scholar 

  15. S. Saks “Theory of the integral”. Dover, New York (1964)

    MATH  Google Scholar 

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© 1996 Springer-Verlag

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Chatterji, S.D. (1996). Remarques sur l’intégrale de Riemann généralisée. In: Azéma, J., Yor, M., Emery, M. (eds) Séminaire de Probabilités XXX. Lecture Notes in Mathematics, vol 1626. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094637

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  • DOI: https://doi.org/10.1007/BFb0094637

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