| 框架向量的参数化及其应用 |
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| 引用本文： | 周家云,孟彬.框架向量的参数化及其应用[J].曲阜师范大学学报,2006,32(3):23-26. |
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| 作者姓名： | 周家云 孟彬 |
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| 作者单位： | [1]曲阜师范大学数学科学学院,山东省曲阜市273165 [2]南京航空航天大学理学院,江苏省南京市210016 |
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| 摘 要： | 如果一个酉系统有完全的游荡向量，那么它的框架向量可以参数化．这有利于研究每种类型的框架向量和它们的相互关系．该文主要给出了一个酉系统的框架向量的参数化结果，无论这个酉系统是否有完全的游荡向量，其应用是：给出了两个框架向量弱相交、相交和强相交的等价条件．
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| 关 键 词： | 框架 酉系统 框架向量 相交 |
| 文章编号： | 1001-5337（2006）07-0023-04 |
| 收稿时间： | 2005-08-27 |
| 修稿时间： | 2005-08-27 |
Parameterization of Frame Vectors with Applications |
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| ZHOU Jia-yun,MENG Bin.Parameterization of Frame Vectors with Applications[J].Journal of Qufu Normal University(Natural Science),2006,32(3):23-26. |
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| Authors: | ZHOU Jia-yun MENG Bin |
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| Institution: | 1. College of Mathematical Science, Qufu Normal University, 273165, Qufu, Shandong, 2. College of Science, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, Jiangsu, PRC |
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| Abstract: | If an unitary system has a complete wandering vector, its frame vectors can be paramerterized. It is useful to research the qualities of every kind of frame vectors and their mutual relations. In this paper, the parameterization of frame vectors of an unitary system which perhaps has no complete vector is given. As an application, the equivalent conditions of weak disjointness, disjointness and strong disjointness respectively are given. |
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| Keywords: | frame unitary system frame vector disjointness |
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