Existence of random variables with values in the dual of a nuclear space |
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| Authors: | S. Ramasamy |
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| Affiliation: | Center for Stochastic Processes , University of North Carolina , Chapel Hill |
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| Abstract: | The aim of this article is to apply some results of L. Schwartz's theory of radonifying maps to prove existence theorems for infinite dimensional valued random variables. As a consequence, we deduce some known results in this direction due to K. Itô, K. Itô and M Nawata, V. Perez-Abreu C., T. Bojdecki and L.G. Gorostiza |
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