| 关于算子半群的一个一般概率表示公式 |
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| 引用本文： | D.Pfeifer. 关于算子半群的一个一般概率表示公式[J]. 数学研究及应用, 1982, 2(4): 93-98 |
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| 作者姓名： | D.Pfeifer |
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| 作者单位： | Dietmar PfeiferInstitut für Statistik und Wirtschaftsmathematik Rheinisch-westf?lische Technische Hochschule Aachen Wüllnerstr. 3 D 5100 Aachen West Germany |
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| 摘 要： |
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| 收稿时间： | 1982-02-18 |
On a General Probabilistic Representation Formula for Semigroups of Operators |
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| D.Pfeifer. On a General Probabilistic Representation Formula for Semigroups of Operators[J]. Journal of Mathematical Research with Applications, 1982, 2(4): 93-98 |
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| Authors: | D.Pfeifer |
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| Affiliation: | Dietmar PfeiferInstitut für Statistik und Wirtschaftsmathematik Rheinisch-westf?lische Technische Hochschule Aachen Wüllnerstr. 3 D 5100 Aachen West Germany |
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| Abstract: | In this paper we present a general probabilistic representation theorem for semigroups of operators which essentially comprises almost all known representation theorems of this kind. Especially, so-called first and second main theorems turn out to be special cases of the same general formula. The general theorem also permits the calculation of rates of convergence involving the second modulus of continuity. |
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