| 多重调和基样条对多元带有限函数的恢复 |
| |
| 引用本文： | 张亚兰,陈广贵,罗新建.多重调和基样条对多元带有限函数的恢复[J].四川师范大学学报(自然科学版),2010,33(2). |
| |
| 作者姓名： | 张亚兰 陈广贵 罗新建 |
| |
| 作者单位： | 西华大学,数学与计算机学院,四川,成都,610039 |
| |
| 基金项目： | 四川省科技厅自然科学重点基金 |
| |
| 摘 要： | 用泛函分析以及调和分析的方法和手段,讨论了利用多重调和基样条对多元带有限函数在L2-尺度下的无误差恢复,将样条函数和带有限函数这两个重要逼近工具联系起来,并由此得到了多元带有限函数的等价刻画,推广了文献中的结果.同时,建立了分别利用多元带有限函数空间(Paley-Wiener空间)和L2(Rd)中k-重调和基样条空间在L2-尺度下对L2(Rd)中函数最佳逼近这两个极值问题之间的联系.
|
| 关 键 词： | Paley-Wiener空间 多重调和基样条 恢复 |
The Recovery of Multivariate Bandlimited Function via Polyharmonic Cardinal Spline |
| |
| ZHANG Ya-lan,CHEN Guang-gui,LUO Xin-jian.The Recovery of Multivariate Bandlimited Function via Polyharmonic Cardinal Spline[J].Journal of Sichuan Normal University(Natural Science),2010,33(2). |
| |
| Authors: | ZHANG Ya-lan CHEN Guang-gui LUO Xin-jian |
| |
| Institution: | ZHANG Ya-lan,CHEN Guang-gui,LUO Xin-jian(School of Mathematics , Computer Engineering,Xihua University,Chengdu 610039,Sichuan) |
| |
| Abstract: | Spline function and band limited function are two important tools for approximation.In this paper,the error-free recovery of multivariate bandlimited function in L2-scale is discussed by using polyharmonic cardinal spline.The two important approximation tools are linked.Furthermore,an equivalent form about mulitivariate bandlimited is obtained.Some result of literature are generalized.Meanwhile,the best approximation of L2(Rd) in L2-scale is made by using the multivariate bandlimited function space(Paley-Wi... |
| |
| Keywords: | Paley-Wiener space polyharmonic cardinal spline recovery |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
