Flows associated to tangent processes on the Wiener space

Citation
F. Cipriano et Ab. Cruzeiro, Flows associated to tangent processes on the Wiener space, J FUNCT ANA, 166(2), 1999, pp. 310-331
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
166
Issue
2
Year of publication
1999
Pages
310 - 331
Database
ISI
SICI code
0022-1236(19990820)166:2<310:FATTPO>2.0.ZU;2-B
Abstract
We prove, under certain regularity assumptions on the coefficients, that ta ngent processes (namely semimartingales d xi(tau) = a dx(tau) + b d tau whe re a is an antisymmetric matrix) generate flows on the classical Wiener spa ce. Main applications of the result can be found in the study of the geomet ry of path spaces. (C) 1999 Academic Press.