| 调和框架的基本素紧分解及其应用 |
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| 引用本文： | 陈财丰,杨守志.调和框架的基本素紧分解及其应用[J].汕头大学学报(自然科学版),2014(4):1-7. |
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| 作者姓名： | 陈财丰 杨守志 |
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| 作者单位： | 汕头大学理学院,广东汕头515063 |
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| 摘 要： | 本文提出了基本素紧框架的概念,证明任意阶调和框架都可由基本素紧框架的并、直和与张量积的投影得到.反之,基本素紧框架的混合运算未必为调和框架,但却生成更一般的等范紧框架,这为构造等范紧框架提供了一种新的方法.最后,本文研究了几种新构造的等范紧框架,得出一些较原框架更好的性质.
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| 关 键 词： | 调和框架 基本素紧框架 框架分解 |
Elementary Prime Tight Decomposion of Harmonic Frames and Their Applications |
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| CHEN Caifeng,YANG Shouzhi.Elementary Prime Tight Decomposion of Harmonic Frames and Their Applications[J].Journal of Shantou University(Natural Science Edition),2014(4):1-7. |
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| Authors: | CHEN Caifeng YANG Shouzhi |
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| Affiliation: | (Department of Mathematics, Science College, Shantou University, Shantou 515063, Guangdong, China) |
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| Abstract: | This paper puts forward the conception of elementary prime tight frames, proving that any finite dimension harmonic frames can be decomposed as unions, direct sums and projection of tensor products of those frames. Conversely, the compound of elementary prime tight frames may not be a harmonic frame, but becomes a general equal normal tight frame （ENTF）, which provides a novel method to construct ENTF. Finally, some kinds of ENTF are studied, which have better properties as compared with the former frames. |
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| Keywords: | harmonic frames elementary prime tight frames decomposition of frames |
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