Approximation Theoretic Asp ects of Probabilistic Representations for Bi-continuous C-semigroups

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By means of Riemann-Stieltjes stochastic process, moment-generating functions and operator-valued mathematical expectation, the problem of probabilistic approximation for bi-continuous C-semigroups is studied and the general probabilistic approximation of exponential formulas and the generation theorems are given.
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