Ito maps and analysis on path spaces

We consider versions of Malliavin calculus on path spaces of compact manifolds with diffusion measures, defining Gross-Sobolev spaces of differentiable functions and proving their intertwining with solution maps, I, of certain stochastic differential equations. This is shown to shed light on fundame...

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Bibliographic Details
Main Authors: K.D. Elworthy, Xue-Mei Li
Format: Default Preprint
Published: 2006
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Online Access:https://hdl.handle.net/2134/2440
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