This book contains the proceedings of an international conference held in Cairo, Egypt (January 1994). This glorious ancient city was the gathering place for mathematicians and engineers to exchange ideas and to discuss new research trends. Mathematics and engineering discoveries, such as wavelets, multiresolution analysis, and subband coding schemes, caused rapid advancements in signal processing, necessitating an interdisciplinary approach. Contributors to this conference demonstrated that some traditional areas of mathematical analysis - sampling theory, approximation theory, and orthogonal polynomials - have proven extremely useful in solving various signal processing problems.This book features P. L. Butzer on...""Mathematics in Egypt and Its Connections with the Court School of Charlemagne"".With several articles discussing the most recent advances and new trends in mathematical analysis and signal processing, this book emphasizes interactions between mathematics and electrical engineering.
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978-0-8218-0384-4 (9780821803844)
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Schweitzer Klassifikation
Mathematics in Egypt and its connections with the Court School of Charlemagne by P. L. Butzer Towards a survey of Paul Butzer's contributions to approximation theory by R. J. Nessel Ergodic theorems for semigroups and cosine operator functions at zero and infinity with rates and applications to partial differential equations. A survey by P. L. Butzer and A. Gessinger Modular estimates and modular convergence for linear integral operators by C. Bardaro and G. Vinti An abstract two-point boundary value problem by J. A. Donaldson and D. A. Williams III A Riemann-Lebesgue lemma for Jacobi expansions by G. Gasper and W. Trebels Centroids: Fast Fourier transform versus wavelets by Y. M. Gordon and A. I. Zayed Rapidly converging series representations for zeta-type functions by M. Hauss Sampling for multi-band functions by J. R. Higgins Askey-Wilson operators by M. E. H. Ismail Reducing the Gibbs phenomenon in a Fourier-Bessel series, Hankel and Fourier transforms by A. J. Jerri Divergence almost everywhere of a pointwise comparison between convolution processes and their discrete analogues by N. Kirchhoff and R. J. Nessel Generalized multiresolution analysis and convergence of spline approximations on $\mathbb R^d$ by M. A. Kon and L. A. Raphael Reproducing kernel Hilbert spaces from sampling expansions by M. Z. Nashed and G. G. Walter Sinc convolution-A tool for circumventing some limitations of classical signal processing by F. Stenger Bounds for the aliasing error in nonuniform sinc interpolation by M. Zwaan The SUP norm of a weighted polynomial: Alternative proof by R. Al-Jarrah and S. Ali A simplified square wave transform for signal processing by T. I. Haweel and AM. Alhasan The use of attributed automaton in the recognition of handwritten numerals by K. A. Kamel, T. A. El-Sadany, and A. H. Desoky Jacobi polynomials of type $BC$, Jack polynomials, limit transitions and $O(\infty)$ by T. H. Koornwinder The last of the hypergeometric continued fractions by D. R. Masson Processing of FSK/FH signals with unknown code by A. E. Mohamed, M. A. Bahie-Eldin, and S. T. Soliman A theory of extended pseudobiorthogonal bases and its application to generalized sampling theorem by H. Ogawa and N.-E. Berrached On discrete band-limited signal extrapolation by T. Strohmer Periodic splines and wavelets by V. A. Zheludev.
