# Integration by parts and Cameron-Martin formulas for the free path space of a compact riemannian manifold

Séminaire de probabilités de Strasbourg (1997)

- Volume: 31, page 16-23

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topLéandre, Rémi, and Norris, James R.. "Integration by parts and Cameron-Martin formulas for the free path space of a compact riemannian manifold." Séminaire de probabilités de Strasbourg 31 (1997): 16-23. <http://eudml.org/doc/113950>.

@article{Léandre1997,

author = {Léandre, Rémi, Norris, James R.},

journal = {Séminaire de probabilités de Strasbourg},

keywords = {Cameron-Martin formula; shifted process; absolutely continuous measures},

language = {eng},

pages = {16-23},

publisher = {Springer - Lecture Notes in Mathematics},

title = {Integration by parts and Cameron-Martin formulas for the free path space of a compact riemannian manifold},

url = {http://eudml.org/doc/113950},

volume = {31},

year = {1997},

}

TY - JOUR

AU - Léandre, Rémi

AU - Norris, James R.

TI - Integration by parts and Cameron-Martin formulas for the free path space of a compact riemannian manifold

JO - Séminaire de probabilités de Strasbourg

PY - 1997

PB - Springer - Lecture Notes in Mathematics

VL - 31

SP - 16

EP - 23

LA - eng

KW - Cameron-Martin formula; shifted process; absolutely continuous measures

UR - http://eudml.org/doc/113950

ER -

## References

top- [D1] 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. Zbl0765.60064MR1194990
- [D2] B.K. Driver, A Cameron-Martin type quasi-invariance formula for pinned Brownian motion on a compact Riemannian manifold, Preprint. Zbl0792.60013
- [EL] K.D. Elworthy and X.M. Li, Formulae for the derivatives of heat semi-groups, J. Funct. Anal.125 (1994), 252-286. Zbl0813.60049MR1297021
- [H] 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.. Zbl0847.58082
- [JL] J.D.S. Jones and R. Léandre, Lp-Chen forms on loop spaces, Stochastic Analysis, Eds. M. T. Barlow and N. H. Bingham, Cambridge University Press, 1991, pp. 103-163. Zbl0756.58003MR1166409
- [L1] R. Léandre, Integration by parts formulas and rotationally invariant Sobolev Calculus on free loop spaces, J. Geometry and PhysicsII (1993), 517-528. Zbl0786.60074MR1230447
- [L2] R. Léandre, Invariant Sobolev Calculus on the free loop space, Preprint. MR1440476
- [LR] 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. Zbl0822.60057MR1325163
- [N1] J.R. Norris, Path integral formulae for heat kernels and their derivatives, Probab. Th. Rel. Fields94 (1993), 525-541. Zbl0791.58112MR1201558
- [N2] J.R. Norris, Twisted sheets, to appear, J. Funct. Anal.132. Zbl0848.60055MR1347353

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