| 非有限带函数由Hermite型多元样本定理的重构 |
| |
| 引用本文： | 李跃武,冯国.非有限带函数由Hermite型多元样本定理的重构[J].数学研究及应用,2009,29(2):349-354. |
| |
| 作者姓名： | 李跃武 冯国 |
| |
| 作者单位： | 呼伦贝尔学院数学系, 内蒙古 海拉尔 021008; 北京师范大学数学系, 北京 100859;台州学院数学系, 浙江 台州 317000 |
| |
| 基金项目： | 国家自然科学基金(No.10671019);内蒙古高校科研项目(No.NJzy08163); |
| |
| 摘 要： | In this paper, we prove that under some restricted conditions, the non-bandiimited functions can be reconstructed by the multidimensional sampling theorem of Hermite type in the space of Lp（R^n）, 1 〈 p 〈 ∞.
|
| 关 键 词： | 非有限带函数 Hermite级 多元样本定理的重构 指数函数 |
| 收稿时间： | 2006/10/23 0:00:00 |
| 修稿时间： | 2007/3/22 0:00:00 |
Reconstruction of Non-Bandlimited Functions by Multidimensional Sampling Theorem of Hermite Type |
| |
| LI Yue Wu and FENG Guo.Reconstruction of Non-Bandlimited Functions by Multidimensional Sampling Theorem of Hermite Type[J].Journal of Mathematical Research with Applications,2009,29(2):349-354. |
| |
| Authors: | LI Yue Wu and FENG Guo |
| |
| Institution: | Department of Mathematics, Hulunbeir University, Inner Mongolia 021008, China; School of Mathematical Sciences, Beijing Normal University, Beijing 100859, China;Department of Mathematics, Taizhou University, Zhejiang 317000, China |
| |
| Abstract: | In this paper, we prove that under some restricted conditions, the non-bandlimited functions can be reconstructed by the multidimensional sampling theorem of Hermite type in the space of $L_p({\Bbb{R}}^n)$, $1
|
| |
| Keywords: | multidimensional sampling theorem non-bandlimited functions Hermite cardinal series entire functions of exponential type |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
