Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE DOBRAKOV INTEGRAL OVER PATHS

  • Ryu, Kun Sik (Department of Mathematics Han Nam University)
  • Received : 2006.01.19
  • Published : 2006.03.31
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Abstract

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.

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