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June 2008 Complex-Analytic Approach to the Sinc-Gauss Sampling Formula
Tanaka Ken'ichiro, Masaaki Sugihara, Murota Kazuo
Japan J. Indust. Appl. Math. 25(2): 209-231 (June 2008).


This paper is concerned with theoretical error estimates for a sampling formula with the sinc-Gaussian kernel. Qian et al. have recently given an error estimate for the class of band-limited functions by Fourier-analytic approach. In contrast, we adopt in this paper a complex-analytic approach to derive an error estimate for a wider class of functions including unbounded functions on $\mathbf{R}$. Part of the result of Qian et al. can be derived from ours as an immediate corollary. Computational results show a fairly good agreement with our theoretical analysis.


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Tanaka Ken'ichiro. Masaaki Sugihara. Murota Kazuo. "Complex-Analytic Approach to the Sinc-Gauss Sampling Formula." Japan J. Indust. Appl. Math. 25 (2) 209 - 231, June 2008.


Published: June 2008
First available in Project Euclid: 3 July 2008

zbMATH: 1152.65123
MathSciNet: MR2431680

Keywords: sampling formula , sinc numerical methods , sinc-Gaussian kernel

Rights: Copyright © 2008 The Japan Society for Industrial and Applied Mathematics

Vol.25 • No. 2 • June 2008
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