|
|||||
|
|
| 可测横截集及类Shannon抽样定理 | |
| 引用本文： | 吴国昌,刘占卫,杨晓慧.可测横截集及类Shannon抽样定理[J].河南科学,2009,27(4):384-387. |
| 作者姓名： | 吴国昌 刘占卫 杨晓慧 |
| 作者单位： | 1. 河南财经学院,信息学院,郑州,450002 2. 郑州大学,信息工程学院,郑州,450052 3. 河南大学,数学与信息科学学院,河南,开封,475004 |
| 基金项目： | 国家自然科学基金，河南省教育厅自然科学基金 |
| 摘 要： | L^2（R^2）中可测横截集被定义,它的性质被刻画,与之相联系一个标准正交基也被导出.从而,在L^2（R^2）中,具有更广泛形式的类Shannon抽样定理被发现.最后一些例子被给出. |
| 关 键 词： | 可测横截集 标准正交基 类Shannon抽样定理 |
The Measurable Transversal Set and Sampling Theorem |
|
| Wu Guochang,Liu Zhanwei,Yang Xiaohui.The Measurable Transversal Set and Sampling Theorem[J].Henan Science,2009,27(4):384-387. | |
| Authors: | Wu Guochang Liu Zhanwei Yang Xiaohui |
| Institution: | 1.College of Information;Henan University of Finance and Economics;Zhengzhou 450002;China;2.Information Engineering College;Zhengzhou University;Zhengzhou 450052;3.School of Mathematics and Information Sciences;Henan University;Kaifeng 475004;Henan China |
| Abstract: | In L2(R2),the measurable transversal set is defined and its properties are classified.An orthonormal basis is dedued.Thus,a Shannon-like sampling theorem that has more comprehensive result is found in L2(R2).Finally,some examples are given. |
| Keywords: | measurable transversal set orthonormal basis Shannon-like sampling theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |