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A stochastic process is a collection of random variables usually indexed by a totally ordered set.

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Generalization of Lévy's continuity theorem for nuclear spaces

A more abstract version of this theorem can be found in Le théorème de continuité de P. Lévy sur les espaces nucléaires where it is proven for Borel measures on strict inductive limits of nuclear Fréc …
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Bochner-Minlos for moment-generating functions?

It is well-known that the Bochner-Minlos theorem characterises measures on duals of nuclear spaces by their characteristic functions. Is there a similar version for moment-generating functions? I have …