Abstract
We prove a generalization of the Cameron–Martin theorem for a geometrically and stochastically complete Riemannian manifold; namely, the Wiener measure on the path space over such a manifold is quasi-invariant under the flow generated by a Cameron–Martin vector field.
Original language | English |
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Pages (from-to) | 1379 |
Journal | Journal of Functional Analysis |
Volume | 257 |
DOIs | |
State | Published - 2009 |