| n次积分C余弦函数的谱映射定理 |
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| 引用本文： | 周玮,宋晓秋,王甫红.n次积分C余弦函数的谱映射定理[J].黑龙江科技学院学报,2009,19(2):143-146. |
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| 作者姓名： | 周玮 宋晓秋 王甫红 |
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| 作者单位： | 中国矿业大学,理学院,江苏,徐州,221008 |
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| 摘 要： | 为解决n次积分C余弦函数的谱特征分析问题,在理解积分余弦函数与积分半群关系的基础上,通过证明得到积分余弦函数与余弦函数间的关系等式,从而得到了n次积分C余弦函数的谱映射定理。又采用生成元定义半群的方法验证了n=1时积分C余弦函数的谱映射定理的正确性。
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| 关 键 词： | n次积分C余弦函数 生成元 谱映射定理 |
Spectral mapping theorem for n-times integrated C-cosine functions |
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| ZHOU Wei,SONG Xiaoqiu,WANG Fuhong.Spectral mapping theorem for n-times integrated C-cosine functions[J].Journal of Heilongjiang Institute of Science and Technology,2009,19(2):143-146. |
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| Authors: | ZHOU Wei SONG Xiaoqiu WANG Fuhong |
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| Institution: | College of Science;China University of Mining & Technology;Xuzhou 221008;China |
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| Abstract: | This paper is an attempt to find the total solution to an analysis of the characteristics of the spectral for n-times integrated C-cosine function.The paper gives the equation of integrated cosine function and cosine function produced on basis of the association of integrated cosine function and integrated semigroups.These conclusions leads to the spectral mapping theorem for n-times integrated C-cosine function.Finally,the spectral mapping theorem is given by using function defined by generator for integra... |
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| Keywords: | n-times integrated C-cosine function generator spectral mapping theorem |
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