Abstract
The Riesz representation of Markov processes was first studied by Hunt under a set of duality assumptions. In a different direction, Chung and Rao discussed the Riesz representation and other related topics under a set of analytic conditions on the potential density with no duality hypotheses. In this paper, we first extend Chung and Rao's results under weaker assumptions, then we construct a right continuous strong dual process by using the Riesz representation. The dual process may have branching points and the set of branching points is just the set on which the uniqueness of the Riesz representation fails.
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