Complex-Analytic Approach to the Sinc-Gauss Sampling Formula
Ken'ichiro, Tanaka ; Sugihara, Masaaki ; Kazuo, Murota
Japan J. Indust. Appl. Math., Tome 25 (2008) no. 1, p. 209-231 / Harvested from Project Euclid
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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.
Publié le : 2008-06-15
Classification:  sampling formula,  sinc-Gaussian kernel,  sinc numerical methods 
@article{1215118763,
     author = {Ken'ichiro, Tanaka and Sugihara, Masaaki and Kazuo, Murota},
     title = {Complex-Analytic Approach to the Sinc-Gauss Sampling Formula},
     journal = {Japan J. Indust. Appl. Math.},
     volume = {25},
     number = {1},
     year = {2008},
     pages = { 209-231},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1215118763}
}

Ken'ichiro, Tanaka; Sugihara, Masaaki; Kazuo, Murota. Complex-Analytic Approach to the Sinc-Gauss Sampling Formula. Japan J. Indust. Appl. Math., Tome 25 (2008) no. 1, pp.  209-231. http://gdmltest.u-ga.fr/item/1215118763/