Abstract
The purpose of this paper is to generalize the (classical) Bochner theorem to the case where Radon probability measures are defined on the weak dual spaces of locally convex spaces. We also compare our result with other topological descriptions of characteristic functionals of probability measures on other infinite dimensional spaces.
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This work is supported in part by the Postdoctoral Science Foundation of China.
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Wu, J. Generalized Bochner theorem on locally convex spaces. Acta Mathematicae Applicatae Sinica 13, 57–63 (1997). https://doi.org/10.1007/BF02020481
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DOI: https://doi.org/10.1007/BF02020481