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Volumn 106, Issue 4, 1996, Pages 447-494

Integration by parts formulas and dilatation vector fields on elliptic probability spaces

Author keywords

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Indexed keywords


EID: 0030363221     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050072     Document Type: Article
Times cited : (15)

References (20)
  • 1
    • 0010897126 scopus 로고
    • Semi-martingales with values in a euclidean bundle and Olone's formula on a Riemannian manifold
    • AMS 1995 (Cranston and Pinsky, eds.)
    • Airault, H., Malliavin, P.: Semi-martingales with values in a Euclidean bundle and Olone's formula on a Riemannian manifold. Proc. Cornell Conf. (1993) AMS 1995 (Cranston and Pinsky, eds.) 175-193.
    • (1993) Proc. Cornell Conf. , pp. 175-193
    • Airault, H.1    Malliavin, P.2
  • 2
    • 0002041783 scopus 로고
    • Integration on loop groups, II. Heat equation for the Wiener measure
    • Airault, H., Malliavin, P.: Integration on loop groups, II. Heat equation for the Wiener measure, J. Funct. Anal. 104 (1992) 71-109.
    • (1992) J. Funct. Anal. , vol.104 , pp. 71-109
    • Airault, H.1    Malliavin, P.2
  • 5
    • 0041049920 scopus 로고
    • Curvatures of path spaces and stochastic analysis
    • J. Funct. Anal., June 1996
    • Cruzeiro, A.B., Malliavin, P.: Curvatures of path spaces and stochastic analysis. C.R. Acad. Sc. Paris 321 (1995) 603-606 and J. Funct. Anal., June 1996.
    • (1995) C.R. Acad. Sc. Paris , vol.321 , pp. 603-606
    • Cruzeiro, A.B.1    Malliavin, P.2
  • 6
    • 44049121803 scopus 로고
    • A Cameron-Martin type quasi-invariance theorem for brownian motion on a compact manifold
    • Driver, B.K.: A Cameron-Martin type quasi-invariance theorem for brownian motion on a compact manifold. J. Funct. Anal. 110, 603-608 (1992)
    • (1992) J. Funct. Anal. , vol.110 , pp. 603-608
    • Driver, B.K.1
  • 7
    • 0001360103 scopus 로고
    • Diffusion of tensors
    • Dynkin, E.B.: Diffusion of tensors. Dokl. Akad. Nauk. SSR 179 (6) (1968); Soviet Math. Dokl. 9 (2) (1968)
    • (1968) Dokl. Akad. Nauk. SSR , vol.179 , Issue.6
    • Dynkin, E.B.1
  • 8
    • 0039862998 scopus 로고
    • Dynkin, E.B.: Diffusion of tensors. Dokl. Akad. Nauk. SSR 179 (6) (1968); Soviet Math. Dokl. 9 (2) (1968)
    • (1968) Soviet Math. Dokl. , vol.9 , Issue.2
  • 9
    • 0003217688 scopus 로고
    • Stochastic dynamical systems, control theory and topics in functional analysis. III. Intern. atomic energy agency
    • Eells, J., Elworthy, K.D.: Stochastic dynamical systems, control theory and topics in functional analysis. III. Intern. atomic energy agency. Vienna, 179-185 (1976)
    • (1976) Vienna , pp. 179-185
    • Eells, J.1    Elworthy, K.D.2
  • 10
    • 0000446485 scopus 로고    scopus 로고
    • Towards a riemannian geometry on the path space over a Riemannian manifold
    • Enchev, O, Stroock, D.: Towards a riemannian geometry on the path space over a Riemannian manifold. J. Funct. Analysis 133 (1996)
    • (1996) J. Funct. Analysis , vol.133
    • Enchev, O.1    Stroock, D.2
  • 11
    • 38248998522 scopus 로고
    • Stochastic analysis on the path space of a riemannian manifold. I-Markovian stochastic calculus
    • Fang, S., Malliavin, P.: Stochastic analysis on the path space of a riemannian manifold. I-Markovian stochastic calculus. J. Funct. Anal. 118, 249-274 (1993)
    • (1993) J. Funct. Anal. , vol.118 , pp. 249-274
    • Fang, S.1    Malliavin, P.2
  • 13
    • 0002770070 scopus 로고
    • The Brownian motion and tensor fields on Riemannian manifold
    • Stockholm
    • Ito, K.: The Brownian motion and tensor fields on Riemannian manifold. Proc. Intern. Congr. Math., Stockholm, 536-539 (1963)
    • (1963) Proc. Intern. Congr. Math. , pp. 536-539
    • Ito, K.1
  • 15
    • 33748250931 scopus 로고
    • Zur umkehrbarkeit der statistischen naturgesetze
    • Kolmogorov, A.N.: Zur Umkehrbarkeit der Statistischen Naturgesetze. Math. Ann. 113, 766-772 (1937)
    • (1937) Math. Ann. , vol.113 , pp. 766-772
    • Kolmogorov, A.N.1
  • 16
    • 49549151946 scopus 로고
    • Formule de la moyenne, calcul de perturbations et theoreme d'annulation pour les formes harmoniques
    • Malliavin, P.: Formule de la moyenne, calcul de perturbations et theoreme d'annulation pour les formes harmoniques. J. Funct. Anal. 17, 274-291 (1974)
    • (1974) J. Funct. Anal. , vol.17 , pp. 274-291
    • Malliavin, P.1
  • 17
    • 0010872067 scopus 로고
    • Naturality of quasi-invariance of some measures
    • Stochastic analysis and applications. Cruzeiro, A.B. and Zambrim, J.C.
    • Malliavin, P.: Naturality of quasi-invariance of some measures. p. 144-154; Stochastic analysis and applications. In: Cruzeiro, A.B. and Zambrim, J.C.: Proceedings of the 1989 Lisbon Conference
    • (1989) Proceedings of the 1989 Lisbon Conference , pp. 144-154
    • Malliavin, P.1
  • 18
    • 0000071236 scopus 로고
    • Integration on loop groups I. Quasi-invariant measures
    • Malliavin, M.P., Malliavin, P.: Integration on loop groups I. Quasi-invariant measures. J. Funct. Anal. 93, 207-237 (1990)
    • (1990) J. Funct. Anal. , vol.93 , pp. 207-237
    • Malliavin, M.P.1    Malliavin, P.2
  • 20
    • 0039862974 scopus 로고
    • Malliavin derivatives and derivatives of functionals of the Wiener space with respect to a scale parameter
    • Zakai, M.: Malliavin derivatives and derivatives of functionals of the Wiener space with respect to a scale parameter. Ann of Prob. 13, 609-615 (1985)
    • (1985) Ann of Prob. , vol.13 , pp. 609-615
    • Zakai, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.