Abd-Alla, M. Z.; Annaby, M. H.; Hassan, H. A.; Ayad, H. A. Difference operators, Green’s matrix, sampling theory and applications in signal processing. (English) Zbl 1398.39012 J. Difference Equ. Appl. 24, No. 8, 1318-1345 (2018). MSC: 39A70 15A18 44A55 94A20 PDFBibTeX XMLCite \textit{M. Z. Abd-Alla} et al., J. Difference Equ. Appl. 24, No. 8, 1318--1345 (2018; Zbl 1398.39012) Full Text: DOI
Shadimetov, Kh. M.; Hayotov, A. R.; Nuraliev, F. A. Optimal quadrature formulas of Euler-Maclaurin type. (English) Zbl 1410.65075 Appl. Math. Comput. 276, 340-355 (2016). MSC: 65D32 PDFBibTeX XMLCite \textit{Kh. M. Shadimetov} et al., Appl. Math. Comput. 276, 340--355 (2016; Zbl 1410.65075) Full Text: DOI arXiv
Tendero, Yohann; Osher, Stanley On a mathematical theory of coded exposure. (English) Zbl 1342.94031 Res. Math. Sci. 3, Paper No. 4, 39 p. (2016). MSC: 94A08 42A38 60G99 PDFBibTeX XMLCite \textit{Y. Tendero} and \textit{S. Osher}, Res. Math. Sci. 3, Paper No. 4, 39 p. (2016; Zbl 1342.94031) Full Text: DOI
Tendero, Yohann; Osher, Stanley On a mathematical theory of coded exposure. (English) Zbl 1366.94069 Res. Math. Sci. 3, Paper No. 4, 39 p. (2016). MSC: 94A08 42A38 60G99 68U10 PDFBibTeX XMLCite \textit{Y. Tendero} and \textit{S. Osher}, Res. Math. Sci. 3, Paper No. 4, 39 p. (2016; Zbl 1366.94069) Full Text: DOI
Freeden, Willi; Nashed, M. Zuhair Multi-variate Hardy-type lattice point summation and Shannon-type sampling. (English) Zbl 1369.94143 GEM. Int. J. Geomath. 6, No. 2, 163-249 (2015). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 94A12 42C15 42C40 94A20 PDFBibTeX XMLCite \textit{W. Freeden} and \textit{M. Z. Nashed}, GEM. Int. J. Geomath. 6, No. 2, 163--249 (2015; Zbl 1369.94143) Full Text: DOI
Butzer, P. L.; Dodson, M. M.; Ferreira, P. J. S. G.; Higgins, J. R.; Schmeisser, G.; Stens, R. L. Seven pivotal theorems of Fourier analysis, signal analysis, numerical analysis and number theory: their interconnections. (English) Zbl 1306.30009 Bull. Math. Sci. 4, No. 3, 481-525 (2014). MSC: 30D10 94A20 41A80 42A38 30D05 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., Bull. Math. Sci. 4, No. 3, 481--525 (2014; Zbl 1306.30009) Full Text: DOI
Butzer, P. L.; Ferreira, P. J. S. G.; Schmeisser, G.; Stens, R. L. The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis. (English) Zbl 1225.65007 Result. Math. 59, No. 3-4, 359-400 (2011). Reviewer: Cristinel Mortici (Targoviste) MSC: 65B15 65D32 94A20 94A12 PDFBibTeX XMLCite \textit{P. L. Butzer} et al., Result. Math. 59, No. 3--4, 359--400 (2011; Zbl 1225.65007) Full Text: DOI
Li, Hu-An; Fang, Gen-Sun Sampling theorem of Hermite type and aliasing error on the Sobolev class of functions. (English) Zbl 1222.42004 Front. Math. China 1, No. 2, 252-271 (2006). MSC: 42A10 42B10 46E35 PDFBibTeX XMLCite \textit{H.-A. Li} and \textit{G.-S. Fang}, Front. Math. China 1, No. 2, 252--271 (2006; Zbl 1222.42004) Full Text: DOI
Long, Jingfan; Fang, Gensun On truncation error bound for multidimensional sampling expansion Laplace transform. (English) Zbl 1066.41033 Anal. Theory Appl. 20, No. 1, 52-57 (2004). MSC: 41A65 PDFBibTeX XMLCite \textit{J. Long} and \textit{G. Fang}, Anal. Theory Appl. 20, No. 1, 52--57 (2004; Zbl 1066.41033) Full Text: DOI
Bardaro, C.; Vinti, G. Uniform convergence and rate of approximation for a nonlinear version of the generalized sampling operator. (English) Zbl 0932.41017 Result. Math. 34, No. 3-4, 224-240 (1998). Reviewer: J.Musielak (Poznań) MSC: 41A35 41A25 47J25 47A58 47J20 PDFBibTeX XMLCite \textit{C. Bardaro} and \textit{G. Vinti}, Result. Math. 34, No. 3--4, 224--240 (1998; Zbl 0932.41017) Full Text: DOI
Vinti, C. A survey on recent results of the mathematical seminar in Perugia, inspired by the work of Professor P. L. Butzer. (English) Zbl 1010.01021 Result. Math. 34, No. 1-2, 32-55 (1998). MSC: 01A70 01A65 41-03 46-03 PDFBibTeX XMLCite \textit{C. Vinti}, Result. Math. 34, No. 1--2, 32--55 (1998; Zbl 1010.01021) Full Text: DOI
Dryanov, Dimiter P. Optimal quadrature formulae on the real line. (English) Zbl 0763.41028 J. Math. Anal. Appl. 165, No. 2, 556-564 (1992). Reviewer: G.López Lagomasino (Habana) MSC: 41A55 PDFBibTeX XMLCite \textit{D. P. Dryanov}, J. Math. Anal. Appl. 165, No. 2, 556--564 (1992; Zbl 0763.41028) Full Text: DOI
Klusch, Dieter The sampling theorem, Dirichlet series and Hankel transforms. (English) Zbl 0768.94004 J. Comput. Appl. Math. 44, No. 3, 261-273 (1992). Reviewer: L.Goras (Iaşi) MSC: 94A12 40D25 PDFBibTeX XMLCite \textit{D. Klusch}, J. Comput. Appl. Math. 44, No. 3, 261--273 (1992; Zbl 0768.94004) Full Text: DOI
Klusch, Dieter The sampling theorem, Dirichlet series and Bessel functions. (English) Zbl 0794.94002 Math. Nachr. 154, 129-139 (1991). MSC: 94A12 33C10 11M06 11M41 PDFBibTeX XMLCite \textit{D. Klusch}, Math. Nachr. 154, 129--139 (1991; Zbl 0794.94002) Full Text: DOI
Dryanov, D. P.; Rahman, Q. I.; Schmeisser, G. Converse theorems in the theory of approximate integration. (English) Zbl 0699.41030 Constructive Approximation 6, No. 3, 321-334 (1990). MSC: 41A55 30D15 42A38 46E10 65D32 PDFBibTeX XMLCite \textit{D. P. Dryanov} et al., Constr. Approx. 6, No. 3, 321--334 (1990; Zbl 0699.41030) Full Text: DOI
Higgins, J. R. Five short stories about the cardinal series. (English) Zbl 0562.42002 Bull. Am. Math. Soc., New Ser. 12, 45-89 (1985). Reviewer: B.Kuttner MSC: 42A15 41-03 94A05 PDFBibTeX XMLCite \textit{J. R. Higgins}, Bull. Am. Math. Soc., New Ser. 12, 45--89 (1985; Zbl 0562.42002) Full Text: DOI