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
โฆ LIBER โฆ
Towards a Riemannian Geometry on the Path Space over a Riemannian Manifold
โ Scribed by O. Enchev; D.W. Stroock
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 669 KB
- Volume
- 134
- Category
- Article
- ISSN
- 0022-1236
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