| SHANNON SAMPLING AND ESTIMATION OF BAND-LIMITED FUNCTIONS IN THE SEVERAL COMPLEX VARIABLES SETTING |
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| 作者姓名： | 高洁欣 钱涛 |
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| 作者单位： | Faculty of Science and Technology, University of Macau, Macau |
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| 基金项目： | 澳门大学校科研和教改项目 |
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| 摘 要： | 1IntroductionSystematic studies on sinc function of one complex variable may be traced to the work ofStenger10].Numerical methods based on the sinc function were subsequently studied in12].The results arising from the numerical methods were further appl…
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| 关 键 词： | Shannon取样 Sinc函数 谐函数分析 Paley-Wiener理论 误差估计 |
| 收稿时间： | 2003-11-18 |
SHANNON SAMPLING AND ESTIMATION OF BAND-LIMITED FUNCTIONS IN THE SEVERAL COMPLEX VARIABLES SETTING |
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| Kou Kit-Ian,Qian Tao.SHANNON SAMPLING AND ESTIMATION OF BAND-LIMITED FUNCTIONS IN THE SEVERAL COMPLEX VARIABLES SETTING[J].Acta Mathematica Scientia,2005,25(4):741-754. |
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| Authors: | Kou Kit-Ian Qian Tao |
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| Institution: | 1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China;2. Macau Institute of Systems Engineering, Macau University of Science and Technology, Macao, China |
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| Abstract: | In this work the authors develop the n-dimensional sinc function theory in the several complex variables setting. In terms of the corresponding Paley-Wiener theorem the exact sinc interpolation and quadrature are established. Exponential convergence rate of the error estimates for band-limited functions in n-dimensional strips are obtained. |
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| Keywords: | Shannon sampling sinc function harmonic analysis |
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