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Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds

We prove several versions of Driver's integration by parts formula for the horizontal Wiener measure on a totally geodesic Riemannian foliation and prove that the horizontal Wiener measure has a… Click to show full abstract

We prove several versions of Driver's integration by parts formula for the horizontal Wiener measure on a totally geodesic Riemannian foliation and prove that the horizontal Wiener measure has a quasi-invariance property with respect to flows generated by suitable tangent processes.

Keywords: wiener measure; integration parts; quasi invariance; horizontal wiener

Journal Title: Journal of Functional Analysis
Year Published: 2019

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