| 变型算子与半群 |
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| 引用本文： | 谭莹.变型算子与半群[J].云南大学学报(自然科学版),1997,19(3):317-323. |
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| 作者姓名： | 谭莹 |
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| 作者单位： | 云南大学数学系 |
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| 基金项目： | 云南省应用基础研究基金 |
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| 摘 要： | Ｊ．Ａ．Ｇｏｌｄｓｔｅｉｎ讨论了线性半群与ｃｏｓｉｎｅ算子的关系，导出了ｃｏｓｉｎｅ算子用半群表示的积分关系．该文利用屈超纯所提出变型算子方法，在抽象正则函数类定义变型算子，导出ｃｏｓｉｎｅ算子用半群的积分表示式
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| 关 键 词： | 变型算子，半群，抽象cosine算子 |
Transforming Operator and Semigroups |
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| TanYing.Transforming Operator and Semigroups[J].Journal of Yunnan University(Natural Sciences),1997,19(3):317-323. |
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| Authors: | TanYing |
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| Abstract: | Goldstein JA discussed the relation between the linear semigroups and the cosine operator,and deduced the integral expression of the cosine operator by semigroups.Here we use the method of transforming operator produced by professor Qu Chaochun,defining the transforming operator in the abstract regular functions,and infering the integral expression of cosine operator by semigroups. |
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| Keywords: | transforming operator semigroup abstract cosine operator |
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