On a characterization of absolute continuity
β Scribed by S.D Chatterji
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 149 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We prove that in any dimension a variational measure associated with an additive continuous function is Ο-finite whenever it is absolutely continuous. The one-dimensional version of our result was obtained in [1] by a different technique. As an application, we establish a simple and transparent rela
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
## Abstract We consider a class of measures called autophage which was introduced and studied by Szekely for measures on the real line. We show that the autophage measures on finiteβdimensional vector spaces over real or **Q**~__p__~ are infinitely divisible without nontrivial idempotent factors an