We study a quasi-invariance property of the Wiener measure on the path space over a compact Riemannian manifold which generalizes the well-known CameronMartin theorem for euclidean space. This property is used to prove an integration by parts formula for the gradient operator. We use the integration
β¦ LIBER β¦
Quasi-invariant transformations on the path space over a manifold
β Scribed by Kainan Xiang
- Book ID
- 105637349
- Publisher
- SP Science China Press
- Year
- 2002
- Tongue
- English
- Weight
- 209 KB
- Volume
- 45
- Category
- Article
- ISSN
- 1674-7283
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