• Journal of the Korean Mathematical Society
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• v.44 no.2
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• pp.477-486
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• 2007

This paper is the first in a series in which we consider bilinear integration with respect to measure-valued measure. We use the integration techniques to establish generalized Egorov theorem and Vitali theorem.

• Journal of the Chungcheong Mathematical Society
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• v.19 no.1
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• pp.61-68
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• 2006

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.