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

Rémi Léandre; James R. Norris

Séminaire de probabilités de Strasbourg (1997)

  • Volume: 31, page 16-23

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Léandre, 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

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  1. [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
  2. [D2] B.K. Driver, A Cameron-Martin type quasi-invariance formula for pinned Brownian motion on a compact Riemannian manifold, Preprint. Zbl0792.60013
  3. [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
  4. [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
  5. [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
  6. [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
  7. [L2] R. Léandre, Invariant Sobolev Calculus on the free loop space, Preprint. MR1440476
  8. [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
  9. [N1] J.R. Norris, Path integral formulae for heat kernels and their derivatives, Probab. Th. Rel. Fields94 (1993), 525-541. Zbl0791.58112MR1201558
  10. [N2] J.R. Norris, Twisted sheets, to appear, J. Funct. Anal.132. Zbl0848.60055MR1347353

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