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Volumn 78, Issue 9, 1999, Pages 877-894

Integration by parts for heat measures over loop groups

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Indexed keywords


EID: 0033539424     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(99)00133-6     Document Type: Article
Times cited : (15)

References (12)
  • 1
    • 0030578297 scopus 로고    scopus 로고
    • Renormalized differential geometry on path space: Structural equation, curvature
    • A.B. Cruzeiro and P. Malliavin, Renormalized differential geometry on path space: Structural equation, curvature, J. Funct. Anal. 139 (1996) 119-181.
    • (1996) J. Funct. Anal. , vol.139 , pp. 119-181
    • Cruzeiro, A.B.1    Malliavin, P.2
  • 2
    • 0031258393 scopus 로고    scopus 로고
    • Integration by parts for heat kernel measure revisited
    • B.K. Driver, Integration by parts for heat kernel measure revisited, J. Math. Pures Appl. 76 (1997) 703-737.
    • (1997) J. Math. Pures Appl. , vol.76 , pp. 703-737
    • Driver, B.K.1
  • 3
    • 0000515916 scopus 로고    scopus 로고
    • Integration by parts and quasi-invariance for heat kernel measures on loop groups
    • B.K. Driver, Integration by parts and quasi-invariance for heat kernel measures on loop groups, J. Funct. Anal. (1997).
    • (1997) J. Funct. Anal.
    • Driver, B.K.1
  • 4
    • 0030587376 scopus 로고    scopus 로고
    • Logarithmic sobolev inequalities for pinned loop groups
    • B.K. Driver and T. Lohrentz, Logarithmic sobolev inequalities for pinned loop groups, J. Funct. Anal. 140 (1996) 381-448 .
    • (1996) J. Funct. Anal. , vol.140 , pp. 381-448
    • Driver, B.K.1    Lohrentz, T.2
  • 5
    • 85030063180 scopus 로고    scopus 로고
    • Integration by parts formula and logarithmic sobolev inequality on the path space over loop groups
    • to appear
    • S. Fang, Integration by parts formula and logarithmic sobolev inequality on the path space over loop groups, Ann. Probab., to appear .
    • Ann. Probab.
    • Fang, S.1
  • 6
    • 0031571532 scopus 로고    scopus 로고
    • De Rham-Hodge-Kodaira operator on loop groups
    • S. Fang and J. Franchi, De Rham-Hodge-Kodaira operator on loop groups, J. Funct. Anal. 148 (1997) 391-407 .
    • (1997) J. Funct. Anal. , vol.148 , pp. 391-407
    • Fang, S.1    Franchi, J.2
  • 7
    • 38248998522 scopus 로고
    • Stochastic analysis on the path space of a riemannian manifold
    • S. Fang and P. Malliavin, Stochastic analysis on the path space of a riemannian manifold, J. Funct. Anal. 118 (1993) 249-274.
    • (1993) J. Funct. Anal. , vol.118 , pp. 249-274
    • Fang, S.1    Malliavin, P.2
  • 8
    • 84972518061 scopus 로고
    • The geometry of loop groups
    • S. Freed, The geometry of loop groups, J. Differential Geom. 28 (1988) 223-276 .
    • (1988) J. Differential Geom. , vol.28 , pp. 223-276
    • Freed, S.1
  • 11
    • 0002528051 scopus 로고
    • Hypoellipticity in infinite dimension
    • M. Pinsky (Ed.), Chicago 1989, Birkhäuser
    • P. Malliavin, Hypoellipticity in infinite dimension, in: M. Pinsky (Ed.), Diffusion Processes and Related Problems in Analysis, Vol. I, Chicago 1989, Birkhäuser, 1991, pp. 17-33.
    • (1991) Diffusion Processes and Related Problems in Analysis , vol.1 , pp. 17-33
    • Malliavin, P.1
  • 12
    • 0004246391 scopus 로고    scopus 로고
    • Grundlehren der math. Wiss., Springer
    • P. Malliavin, Stochastic Analysis, Grundlehren der math. Wiss., Springer, 1997.
    • (1997) Stochastic Analysis
    • Malliavin, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.