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Volumn 6, Issue , 2001, Pages 1-22

The FBM Ito's formula through analytic continuation

Author keywords

Fractional Brownian Motion; It 's formula; Sobolev space; Stochastic integral; Wiener space

Indexed keywords


EID: 10644280652     PISSN: 10836489     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (27)
  • 1
    • 0043136587 scopus 로고    scopus 로고
    • An extension of Itô's formula for anticipating processes
    • E. Alòs and D. Nualart (1998). An extension of Itô's formula for anticipating processes. Journal of Theoretical Probability, 11, 493-514
    • (1998) Journal of Theoretical Probability , vol.11 , pp. 493-514
    • Alòs, E.1    Nualart, D.2
  • 2
    • 10644233321 scopus 로고    scopus 로고
    • Stochastic calculus with respect to fractional Gaussian processes
    • To appear
    • E. Alòs, O. Mazet and D. Nualart (2000). Stochastic calculus with respect to fractional Gaussian processes. To appear in The Annals of Prob.
    • (2000) The Annals of Prob.
    • Alòs, E.1    Mazet, O.2    Nualart, D.3
  • 3
    • 0000338690 scopus 로고    scopus 로고
    • Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 1/2
    • E. Alòs, O. Mazet and D. Nualart (2000). Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 1/2. Stoch. Processes and Applications, 86, 121-139
    • (2000) Stoch. Processes and Applications , vol.86 , pp. 121-139
    • Alòs, E.1    Mazet, O.2    Nualart, D.3
  • 4
    • 0038433460 scopus 로고    scopus 로고
    • Stochastic stochastic calculus for fractional Brownian motion with Hurst parameter lesser than 1/2
    • E. Alòs, J.A. León and D. Nualart (2001). Stochastic stochastic calculus for fractional Brownian motion with Hurst parameter lesser than 1/2. Taiwanesse J. of Math. 5(3), 609-632
    • (2001) Taiwanesse J. of Math. , vol.5 , Issue.3 , pp. 609-632
    • Alòs, E.1    León, J.A.2    Nualart, D.3
  • 6
    • 0034134632 scopus 로고    scopus 로고
    • Stochastic integration with respect to fractional Brownian motion
    • Paris, Série I
    • P. Carmona and L. Coutin (2000). Stochastic integration with respect to fractional Brownian motion. CRAS, Paris, Série I, t.330, 231-236
    • (2000) CRAS , vol.330 , pp. 231-236
    • Carmona, P.1    Coutin, L.2
  • 7
    • 53349108011 scopus 로고    scopus 로고
    • Itô's formula with respect to fractional Brownian motion and its application
    • W. Dai and C. C. Heyde (1996). Itô's formula with respect to fractional Brownian motion and its application. Journal of Appl. Math. and Stoch. An., 9, 439-448
    • (1996) Journal of Appl. Math. and Stoch. An. , vol.9 , pp. 439-448
    • Dai, W.1    Heyde, C.C.2
  • 9
    • 0042637937 scopus 로고    scopus 로고
    • Stochastic analysis of the fractional Brownian motion
    • L. Decreusefond and A. S. Ustünel (1998). Stochastic analysis of the fractional Brownian motion. Potential Analysis, 10, 177-214
    • (1998) Potential Analysis , vol.10 , pp. 177-214
    • Decreusefond, L.1    Ustünel, A.S.2
  • 10
    • 0033878593 scopus 로고    scopus 로고
    • Stochastic calculus for fractional Brownian motion. I. Theory
    • T.E. Duncan, Y. Hu and B. Pasik-Duncan (2000). Stochastic calculus for fractional Brownian motion. I. Theory. SIAM J. Control Optim. 38(2), 582-612
    • (2000) SIAM J. Control Optim. , vol.38 , Issue.2 , pp. 582-612
    • Duncan, T.E.1    Hu, Y.2    Pasik-Duncan, B.3
  • 11
    • 0041603272 scopus 로고
    • Espaces de Sobolev gaussiens
    • fasc.4
    • D. Feyel and A. de la Pradelle (1989). Espaces de Sobolev gaussiens. Ann. Inst. Fourier, t.39, fasc.4, p.875-908
    • (1989) Ann. Inst. Fourier , vol.39 , pp. 875-908
    • Feyel, D.1    De La Pradelle, A.2
  • 13
    • 0009344032 scopus 로고
    • Opérateurs linéaires gaussiens
    • Proc. ICPT91, Ed. Bertin
    • D. Feyel and A. de la Pradelle (1994). Opérateurs linéaires gaussiens. Proc. ICPT91, Ed. Bertin, Potential Analysis, vol 3,1, p.89-106
    • (1994) Potential Analysis , vol.3 , Issue.1 , pp. 89-106
    • Feyel, D.1    De La Pradelle, A.2
  • 15
    • 0033457813 scopus 로고    scopus 로고
    • Fractional integrals and Brownian processes
    • D. Feyel and A. de la Pradelle (1999). Fractional integrals and Brownian processes. Potential Analysis, 10, 273-288
    • (1999) Potential Analysis , vol.10 , pp. 273-288
    • Feyel, D.1    De La Pradelle, A.2
  • 17
    • 0001134054 scopus 로고
    • L'intégrale stochastique comme opérateur de divergence dans l'espace fonctionnel
    • B. Gaveau and P. Trauber (1982) L'intégrale stochastique comme opérateur de divergence dans l'espace fonctionnel. J. Functional Analysis, 46, 230-238
    • (1982) J. Functional Analysis , vol.46 , pp. 230-238
    • Gaveau, B.1    Trauber, P.2
  • 18
    • 0008562738 scopus 로고    scopus 로고
    • Existence and uniqueness theorems for stochastic differential equations with fractal Brownian motion
    • M. L. Kleptsyna, P. E. Kloeden and V. V. Anh (1999). Existence and uniqueness theorems for stochastic differential equations with fractal Brownian motion. Problems Inform. Transmission, 34 (4), 332-341
    • (1999) Problems Inform. Transmission , vol.34 , Issue.4 , pp. 332-341
    • Kleptsyna, M.L.1    Kloeden, P.E.2    Anh, V.V.3
  • 19
    • 0000746261 scopus 로고
    • Stochastic analysis of fractional Brownian motions
    • S. J. Lin (1995). Stochastic analysis of fractional Brownian motions. Stochastics and Stoch. Reports, 55, 121-140
    • (1995) Stochastics and Stoch. Reports , vol.55 , pp. 121-140
    • Lin, S.J.1
  • 20
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • B. B. Mandelbrot and J. W. Van Ness (1968). Fractional Brownian motions, fractional noises and applications. SIAM Review, 10(4), 422-437
    • (1968) SIAM Review , vol.10 , Issue.4 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 21
    • 0001786311 scopus 로고
    • Sur les multiplicateurs des séries de Fourier
    • J. Marcinkiewicz (1939). Sur les multiplicateurs des séries de Fourier. Studia Mathematica, 8, 139-40
    • (1939) Studia Mathematica , vol.8 , pp. 139-140
    • Marcinkiewicz, J.1
  • 22
    • 0001626619 scopus 로고
    • Stochastic calculus with anticipating integrands
    • D. Nualart and E. Pardoux (1988). Stochastic calculus with anticipating integrands. Prob. Theory Rel. Fields, 78, 535-581
    • (1988) Prob. Theory Rel. Fields , vol.78 , pp. 535-581
    • Nualart, D.1    Pardoux, E.2
  • 23
    • 0001714525 scopus 로고    scopus 로고
    • An elementary approach to a Girsanov formula and other analytical resuls on fractional Brownian motion
    • I. Norros, E. Valkeila and J. Virtamo (1999). An elementary approach to a Girsanov formula and other analytical resuls on fractional Brownian motion. Bernoulli, 5, 571-587
    • (1999) Bernoulli , vol.5 , pp. 571-587
    • Norros, I.1    Valkeila, E.2    Virtamo, J.3
  • 24
    • 0001900180 scopus 로고    scopus 로고
    • Skorohod stochastic integration with respect to a non-adapted process on Wiener space
    • N. Privault (1998). Skorohod stochastic integration with respect to a non-adapted process on Wiener space. Stochastics and Stochastics Reports, 65, 13-39
    • (1998) Stochastics and Stochastics Reports , vol.65 , pp. 13-39
    • Privault, N.1
  • 25
    • 0001764417 scopus 로고
    • On a generalization of a stochastic integral
    • A. V. Skorohod (1975). On a generalization of a stochastic integral. Theory Probab. Appl., 20, 219-233
    • (1975) Theory Probab. Appl. , vol.20 , pp. 219-233
    • Skorohod, A.V.1
  • 26
    • 4243224471 scopus 로고
    • The Itô formula for anticipative processes with non-monotonous time scale via the Malliavin calculus
    • A.S. Ustüunel (1988). The Itô formula for anticipative processes with non-monotonous time scale via the Malliavin calculus. Probability Theory and Related Fields, 79, 249-269
    • (1988) Probability Theory and Related Fields , vol.79 , pp. 249-269
    • Ustüunel, A.S.1
  • 27
    • 0038290919 scopus 로고    scopus 로고
    • Integration with respect to fractal functions and stochastic calculus
    • M. Zähle (1998). Integration with respect to fractal functions and stochastic calculus. Probability Theory and Related Fields, 111, 333-374
    • (1998) Probability Theory and Related Fields , vol.111 , pp. 333-374
    • Zähle, M.1


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