충청수학회지 (Journal of the Chungcheong Mathematical Society)
- 제19권1호
- /
- Pages.61-68
- /
- 2006
- /
- 1226-3524(pISSN)
- /
- 2383-6245(eISSN)
THE DOBRAKOV INTEGRAL OVER PATHS
초록
In 2002, the author introduced the definition and its properties of an analogue of Wiener measure over paths. In this article, using these concepts, we will derive an operator-valued measure over paths and will investigate the properties for integral with respect to the measure. Specially, we will prove the Wiener integral formula for our integral and give some example of it.