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We prove that arbitrary Hunt processes on a general state space can be approximated by multivariate Poisson processes starting from each point of the state space. The key point is that no additional regularity assumption on the state space and on the underlying transition semigroup is used.
White noise analysis is formulated on a general probability space which is such that (1) it admits a standard Brownian motion, and (2) its σ-algebra is generated by this Brownian motion (up to completion). As a special case, the white noise probability space with time parameter being the...
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