SHANNON SAMPLING AND ESTIMATION OF BAND-LIMITED FUNCTIONS IN THE SEVERAL COMPLEX VARIABLES SETTING

被引:0
作者
高洁欣
钱涛
机构
[1] Faculty of Science and Technology
[2] University of Macau
[3] Macau
关键词
Shannon sampling; sinc function; harmonic analysis;
D O I
暂无
中图分类号
O174.5 [复分析、复变函数];
学科分类号
070104 ;
摘要
In this work the authors develop the n-dimensional sinc function theory in theseveral complex variables setting. In terms of the corresponding Paley-Wiener theorem theexact sinc interpolation and quadrature are established. Exponential convergence rate ofthe error estimates for band-limited functions in n-dimensional strips are obtained.
引用
收藏
页码:741 / 754
页数:14
相关论文
共 1 条
[1]  
The Sinc method in multiple space dimensions: Model problems[J] . Kelly M. McArthur,Kenneth L. Bowers,John Lund. &nbspNumerische Mathematik . 1989 (8)