SHANNON SAMPLING AND ESTIMATION OF BAND-LIMITED FUNCTIONS IN THE SEVERAL COMPLEX VARIABLES SETTING
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.
作 者： Kou Kit-Ian Qian Tao 作者单位： Faculty of Science and Technology, University of Macau, Macau 刊 名： 数学物理学报（英文版） ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA 年，卷(期)： 2005 25(4) 分类号： O4 关键词： Shannon sampling sinc function harmonic analysis