Il Yong Lee, Hyun Soo Chung, Seung Jung Chang
We define a transform with respect to the Gaussian process, the ⋄-product and the first variation on function space. We then establish a generalized Fubini theorem rather than the Fubini theorem introduced in H. S. Chung, J. G. Choi and S. J. Chang, Banach J. Math. Anal. 7 (2013), 173-185. Also, we examine the various relationships of the transform with respect to the Gaussian process, the ⋄-product and the first variation for functionals on function space.
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