Includes bibliographical references.

Mathematics in Egypt and its connections with the court school of Charlemagne / P. L. Butzer -- Towards a survey of Paul Butzer's contributions to approximation theory / R. J. Nessel -- Ergodic theorems for semigroups and cosine operator functions at zero and infinity with rates; applications to partial differential equations. A survey / P. L. Butzer and A. Gessinger -- Modular estimates and modular convergence for linear integral operators / Carlo Bardaro and Gianluca Vinti -- An abstract two-point boundary value problem / James A. Donaldson and Daniel A. Williams, III -- A Riemann-Lebesgue lemma for Jacobi expansions / George Gasper and Walter Trebels -- Centroids: fast Fourier transform versus wavelets / Yvette M. Gordon and Ahmed I. Zayed -- Rapidly converging series representations for zeta-type functions / Michael Hauss -- Sampling for multi-band functions / J. R. Higgins -- The Askey-Wilson operator and summation theorems / Mourad E. H. Ismail -- Reducing the Gibbs phenomenon in a Fourier-Bessel series, Hankel and Fourier transforms / Abdul J. Jerri -- Divergence almost everywhere of a pointwise comparison between convolution processes and their discrete analogues / N. Kirchhoff and R. J. Nessel -- Generalized multiresolution analysis and convergence of spline approximations on $\mathbf {R}^d$ / Mark A. Kon and Louise A. Raphael -- Reproducing kernel Hilbert spaces from sampling expansions / M. Zuhair Nashed and Gilbert G. Walter -- Sinc convolution -- a tool for circumventing some limitations of classical signal processing / Frank Stenger -- Bounds for the aliasing error in nonuniform sinc interpolation / M. Zwaan -- The sup norm of a weighted polynomial: alternative proof / Radwan Aljarrah and Sayel Ali -- A simplified square wave transform for signal processing / Tarek I. Haweel and AM. Alhasan -- The use of attributed automaton in the recognition of handwritten numerals / K. A. Kamel, T. A. El-Sadany and A. H. Desoky -- Jacobi polynomials of type $BC$, Jack polynomials, limit transitions and $O(\infty )$ / Tom H. Koornwinder -- The last of the hypergeometric continued fractions / David R. Masson -- Processing of FSK/FH signals with unknown code / A. E. Mohamed, M. A. Bahie-Eldin and S. T. Soliman -- A theory of extended pseudo-biorthogonal bases and its application to generalized sampling theorem / Hidemitsu Ogawa and Nasr-Eddine Berrached -- On discrete band-limited signal extrapolation / Thomas Strohmer -- Periodic splines and wavelets / Valery A. Zheludev --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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