Date of Award
Doctor of Philosophy (PhD)
This dissertation contains several results about integral kernel operators in white noise analysis. The results found here apply to the space of test functions and generalized functions that were constructed in the paper of Cochran, Kuo, and Sengupta, based on a sequence of numbers &cubl0;an&cubr0; infinityn=0. . We shall prove results about existence, restrictions, and extensions of integral kernel operators based on the conditions on &cubl0;an&cubr0; infinityn=0. contained in the paper of Kubo, Kuo, and Sengupta. Also, we shall prove an analytic property and growth condition of the symbol of a continuous operator in CKS space. Our results are similar to results Chung, Ji, and Obata have found for the CKS space.
Whitaker, John Joseph, "Integral Kernel Operators in the Cochran -Kuo -Sengupta Space." (1999). LSU Historical Dissertations and Theses. 7061.