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

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 funct...

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Veröffentlicht in:Acta mathematica scientia 2005-10, Vol.25 (4), p.741-754
1. Verfasser: 高洁欣 钱涛
Format: Artikel
Sprache:eng
Schlagworte:
30D10
42B35
62D05
harmonic analysis
Paley-Wiener理论
Shannon sampling
Shannon取样
sinc function
Sinc函数
误差估计
谐函数分析
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Zusammenfassung: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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(17)30214-X