Shannon sampling and estimation of band-limited functions in the several complex variables setting

被引：3

作者：

Kou, KI ^{[1
]}

Qian, T ^{[1
]}

机构：

[1] Univ Macau, Fac Sci & Technol, Macau, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2005年 / 25卷 / 04期

关键词：

Shannon sampling; sinc function; harmonic analysis;

D O I：

10.1016/S0252-9602(17)30214-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：741 / 754

页数：14

共 16 条

[1] NUMERICAL-SOLUTION OF SINGULAR POISSON PROBLEMS VIA THE SINC-GALERKIN METHOD [J].