@article{SPS_1997__31__54_0, author = {Fang, Shizan and Franchi, Jacques}, title = {A differentiable isomorphism between {Wiener} space and path group}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, pages = {54--61}, publisher = {Springer - Lecture Notes in Mathematics}, volume = {31}, year = {1997}, mrnumber = {1478715}, zbl = {0889.58084}, language = {fr}, url = {http://www.numdam.org/item/SPS_1997__31__54_0/} }
TY - JOUR AU - Fang, Shizan AU - Franchi, Jacques TI - A differentiable isomorphism between Wiener space and path group JO - Séminaire de probabilités de Strasbourg PY - 1997 SP - 54 EP - 61 VL - 31 PB - Springer - Lecture Notes in Mathematics UR - http://www.numdam.org/item/SPS_1997__31__54_0/ LA - fr ID - SPS_1997__31__54_0 ER -
%0 Journal Article %A Fang, Shizan %A Franchi, Jacques %T A differentiable isomorphism between Wiener space and path group %J Séminaire de probabilités de Strasbourg %D 1997 %P 54-61 %V 31 %I Springer - Lecture Notes in Mathematics %U http://www.numdam.org/item/SPS_1997__31__54_0/ %G fr %F SPS_1997__31__54_0
Fang, Shizan; Franchi, Jacques. A differentiable isomorphism between Wiener space and path group. Séminaire de probabilités de Strasbourg, Tome 31 (1997), pp. 54-61. http://www.numdam.org/item/SPS_1997__31__54_0/
[A] Sobolev spaces over loop groups. J.F.A. 127, p. 155-172, 1995. | MR | Zbl
[AM] De Rham-Hodge-Kodaira decomposition in infinite dimension. Math. Ann. 291, p. 51-73, 1991. | MR | Zbl
and[D] The non-equivalence of Dirichlet forms on path spaces. Stochastic Analysis on Infinite Dimensional Spaces, p. 75-87, Proceedings Baton Rouge 1994, H. Kunita and H.H. Kuo ed. | MR | Zbl
[FF1] Platitude de la structure riemannienne sur les groupes de chemins et identité d'énergie pour les intégrales stochastiques. C.R.A.S. Paris, t. 321, S.1, p. 1371-1376, 1995. | MR | Zbl
and[FF2] Flatness of the path group over a compact Lie group and Shigekawa identity. Prepublication n° 310 du laboratoire de probabilités de Paris VI, 1995. | MR
and[FF3] De Rham-Hodge-Kodaira operator on loop groups. Prepublication n° 341 du laboratoire de probabilités de Paris VI, 1996. | MR
and[G] Uniqueness of ground states for Schrödinger operators over loop groups. J.F.A. 112, p. 373-441, 1993. | MR | Zbl
[L] Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces. J. Geom. Phys. 11, p. 517-528, 1993. | MR | Zbl
[LR] A stochastic approach to the Euler-Poincaré number of the loop space over a developpable orbifold. J. Geom. Phys. 16, p. 71-98, 1995. | MR | Zbl
and[M] Hypoellipticity in infinite dimension. Diffusion processes and related problems in Analysis, vol. 1, Progress in Probability 32, p. 17-33, M. Pinsky ed., Birkhäuser 1991. | MR | Zbl
[MM] Integration on loop groups I : Quasi invariant measures. J.F.A. 93, p. 207-237, 1990. | MR | Zbl
and[PU] Analyse stochastique sur l'espace de Lie-Wiener. C.R.A.S. 313, p. 313-316, 1991. | MR | Zbl
and[S1] De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space. J. Math. Kyoto Univ. 26-2, p. 191-202, 1986. | MR | Zbl
[S2] A quasi homeomorphism on the Wiener space. Proceedings of symposia in pure mathematics 57, Stochastic Analysis, p. 473-486, M. Cranston and M. Pinsky ed., 1995. | MR | Zbl