A class of FELLER'S one-dimensional continuous strong MARKOV processes generated by the generalized second order differential operator D,,,DZ is considered. In the case of natural boundaries of the state space R and an identical road map s(z) = x, these diffusion processes are martingales. In a firs
On a continuous time extension of Feller's Lemma
β Scribed by N. U. Prabhu; Michael Rubinovitch
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 280 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1432-2064
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π SIMILAR VOLUMES
Let C R (X) denote, as usual, the Banach algebra of all real valued continuous functions on a compact Hausdorff space X endowed with the supremum norm. We present an elementary proof of the following extension result for C R (X): For a given g β C R (X) with zero set Zg and for the n-tuple (f1, . .
Sarh processes X were first described by WILLIAN FELLER in a purely analytical way, using the generalized second-order differential operator U,D;. In the rase of natural boundaries of the state space R and a trivial road map p(xj =x, these diffusion processes are martingales. In the present paper it