Remarques sur l'intégrale de Riemann généralisée
Chatterji, Shrishti Dhav
Séminaire de probabilités de Strasbourg, Tome 30 (1996), p. 1-11 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1996-01-01
@article{SPS_1996__30__1_0,
     author = {Chatterji, Shrishti Dhav},
     title = {Remarques sur l'int\'egrale de Riemann g\'en\'eralis\'ee},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {30},
     year = {1996},
     pages = {1-11},
     mrnumber = {1459472},
     zbl = {0859.26003},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/SPS_1996__30__1_0}
}

Chatterji, Shrishti Dhav. Remarques sur l'intégrale de Riemann généralisée. Séminaire de probabilités de Strasbourg, Tome 30 (1996) pp. 1-11. http://gdmltest.u-ga.fr/item/SPS_1996__30__1_0/

[1] R.-G. Bartle "A general bilinear vector integral", Studia Math. 15, 337-352 (1956). | MR 80721 | Zbl 0070.28102

[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). | MR 265526 | Zbl 0197.04103

[3] C. Dellacherie et P.-A. Meyer "Probabilités et Potentiel" Chapitres V à VIII. Hermann, Paris (1980). | MR 566768 | Zbl 0464.60001

[4] D.H. Fremlin (i) (with J. Mendoza) "On the integration of vector-valued functions", Illinois J. Math. 38, 127-147 (1994) | MR 1245838 | Zbl 0790.28004

(ii) "The Henstock and McShane integrals of vector-valued functions", Illinois J. Math. 38, 471-479 (1994). | MR 1269699 | Zbl 0797.28006

[5] R.A. Gordon "The McShane integral of Banach-valued functions", Illinois J. Math. 34, 557-567 (1990). | MR 1053562 | Zbl 0685.28003

[6] R. Henstock "The general theory of integration". Clarendon Press, Oxford (1991). | MR 1134656 | Zbl 0745.26006

[7] G. Letta "Martingales et intégration stochastique". Scuola Normale Superiore, Pisa (1984). | MR 804390 | Zbl 0569.60053

[8] M. Métivier et J. Pellaumail "Stochastic integration". Academic Press, New York (1980). | MR 578177 | Zbl 0463.60004

[9] R.M. Mcleod "The generalized Riemann integral". The Mathematical Association of America (1980). | MR 588510 | Zbl 0486.26005

[10] E.J. Mcshane (i) (with T.A. Botts) "A modified Riemann-Stieltjes integral", Duke Math. J. 19, 293-302 (1952) | MR 47746 | Zbl 0047.29402

(ii) "A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals", Memoirs of the Amer-Math. Soc. Nov. 88 (1969). | MR 265527 | Zbl 0188.35702

(iii) "A unified theory of integration", Amer. Math. Monthly 80, 349-359 (1973) | MR 318434 | Zbl 0266.26008

(iv) "Stochastic calculus and stochastic models". Academic Press, New York (1974) | MR 443084

(v) "Unified integration". Academic Press, New York (1983). | MR 740710

[11] J. Neveu "Bases mathématiques du calcul des probabilités". Masson, Paris (1964). | MR 198504 | Zbl 0137.11203

[12] I.N. Pesin "Classical and modern integration theories" (translated and edited by S. Kotz). Academic Press, New York (1970). | MR 264015 | Zbl 0206.06401

[13] W.F. Pfeffer "The Riemann approach to integration". Cambridge University Press (1993). | MR 1268404 | Zbl 0804.26005

[ 14] P. Protter "Stochastic integration and differential equations". Springer-Verlag, Berlin (1990). | MR 1037262 | Zbl 0694.60047

[ 15] S. Saks "Theory of the integral". Dover, New York (1964) | MR 167578