Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Integration formulas for the conditional transform involving the first variation

Document Type : Research Paper

Authors
Department of Mathematics, Dankook University, Cheonan 330-714, Korea
Abstract
In this paper, we show that the conditional transform with respect to the Gaussian process
involving the first variation can be expressed in terms of the conditional transform without the first variation.
We then use this result to obtain various integration formulas involving the conditional $\diamond$-product and the first variation.
Keywords
Subjects

  • Receive Date 13 January 2014
  • Revise Date 15 April 2014
  • Accept Date 02 May 2014