Some General Probabilistic Estimations for the Rate of Convergence in Operator Semigroup Representations.

摘要

Starting from well-known estimations for the rate of convergence in Hille's, Philips' and Widder's representation formulas for operator semigroups this document shows that by a suitable probabilistic approach, these results are easily reobtained, and can immediately be generalized to arbitrary (probabilistic) representation formulas. Some examples are also considered. (Author)