MATHEMATICAL ENGINEERING TECHNICAL REPORTS Complex Analytic Approach to the Sinc-Gauss Sampling Formula
Masaaki Sugihara, Kazuo Murota · 2006
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 with the aid of tools from Fourier analysis. By complex analytic approach, we give in this paper an error estimate for a wider class of functions including unbounded ones on 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 the theoretical convergence rates.