A New Expression for the Transform with Respect to the Gaussian Process

Seung Jun Chang, Hyun Soo Chung, Il Yong Lee


In this paper, we introduce the concept of the $\otimes$-product. We then show that  the transform with respect to the Gaussian process for the functional $F$  
can be expressed in terms of the $\otimes$-product  without the concept of transform. Finally, we obtain the various relationships for the $\diamond$-product.

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