A probabilistic variant of Chernoff's product formula |
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Authors: | Dietmar Pfeifer |
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Affiliation: | 1. Fachbereich Mathematik, Carl von Ossietzky Universit?t Oldenburg, P.O. Box 25 03, W-2900, Oldenburg, Germany
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Abstract: | In this paper we present a version of Chernoff's product formula based on probabilistic representations for equi-bounded operator semigroups which covers e.g. Hille's first exponential formula as well as the Post-Widder real inversion formula. General rates of convergence are given in terms of the rectified modulus of continuity. |
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