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References
B. K. Driver, A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold, J. Funct. Anal. 110 (1992), 272–377.
B. K. Driver, A Cameron-Martin type quasi-invariance formula for pinned Brownian motion on a compact Riemannian manifold, Preprint.
K. D. Elworthy and X. M. Li, Formulae for the derivatives of heat semi-groups, J. Funct. Anal. 125 (1994), 252–286.
E. P. Hsu, Quasi-invariance of the Wiener measure and integration by parts in the path space over a compact Riemannian manifold, to appear, J. Funct. Anal.
J. D. S. Jones and R. Léandre, L P-Chen forms on loop spaces, Stochastic Analysis, Eds. M. T. Barlow and N. H. Bingham, Cambridge University Press, 1991, pp. 103–163.
R. Léandre, Integration by parts formulas and rotationally invariant Sobolev Calculus on free loop spaces. J. Geometry and Physics II (1993), 517–528.
R. Léandre, Invariant Sobolev Calculus on the free loop space, Preprint.
R. Léandre and S. S. Roan, A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold, to appear, J. Geometry and Physics.
J. R. Norris, Path integral formulae for heat kernels and their derivatives, Probab. Th. Rel. Fields 94 (1993) 525–541.
J. R. Norris, Twisted sheets, to appear, J. Funct. Anal. 132.
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Léandre, R., Norris, J.R. (1997). Integration by parts and Cameron-Martin formulas for the free path space of a compact Riemannian manifold. In: Azéma, J., Yor, M., Emery, M. (eds) Séminaire de Probabilités XXXI. Lecture Notes in Mathematics, vol 1655. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0119288
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DOI: https://doi.org/10.1007/BFb0119288
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