Le théorème \(\Phi ^{-1}\), et les semi-martingales à valeurs dans des espaces d’applications \(C^{\infty}\) entre variétés. II. (The \(\Phi ^{-1}\) theorem, and the semi-martingales with values in spaces of \(C^{\infty}\) maps between manifolds. II.). (French) Zbl 0617.60051

Schwartz, Laurent

C. R. Acad. Sci., Paris, Sér. I 305, 49-53 (1987).

In part I [see the preceding entry, Zbl 0617.60050], we stated three theorems, and proved only the first two. We prove the third one here, and extend the three theorems to the case where the vector spaces E, F, G, are replaced by manifolds U, V, W.

MSC:

60H10	Stochastic ordinary differential equations (aspects of stochastic analysis)
60G48	Generalizations of martingales
58J65	Diffusion processes and stochastic analysis on manifolds

Keywords:

manifolds

Citations:

Zbl 0617.60050