THE PROBABILISTIC REPRESENTATION FORMULAE FOR COSINE OPERATOR FUNCTIONS |
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作者姓名: | 周密 陈文忠 |
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作者单位: | Basic Course Department Xiamen Fisheries College Xiamen,Fujian,China 361021,Department of Mathematices Xiamen University,Xiamen,Fujian,China 361005 |
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摘 要: | In this paper we obtained general representation formulae for strongly continuous cosine operatorfunctions via probabilistic approach,which include Webb's[1]and Shaw's[2]formulae and some newone as special cases.We also give the quantitative estimations for the general formulae.
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