Contemporary Mathematics 1995; 354 pp; softcover Volume: 190 ISBN10: 0821803840 ISBN13: 9780821803844 List Price: US$71 Member Price: US$56.80 Order Code: CONM/190
 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 analysissampling theory, approximation theory, and orthogonal polynomialshave proven extremely useful in solving various signal processing problems. 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. Readership Mathematicians, engineers and graduate students in mathematics. Table of Contents  P. L. Butzer  Mathematics in Egypt and its connections with the Court School of Charlemagne
 R. J. Nessel  Towards a survey of Paul Butzer's contributions to approximation theory
 P. L. Butzer and A. Gessinger  Ergodic theorems for semigroups and cosine operator functions at zero and infinity with rates and applications to partial differential equations. A survey
 C. Bardaro and G. Vinti  Modular estimates and modular convergence for linear integral operators
 J. A. Donaldson and D. A. Williams III  An abstract twopoint boundary value problem
 G. Gasper and W. Trebels  A RiemannLebesgue lemma for Jacobi expansions
 Y. M. Gordon and A. I. Zayed  Centroids: Fast Fourier transform versus wavelets
 M. Hauss  Rapidly converging series representations for zetatype functions
 J. R. Higgins  Sampling for multiband functions
 M. E. H. Ismail  AskeyWilson operators
 A. J. Jerri  Reducing the Gibbs phenomenon in a FourierBessel series, Hankel and Fourier transforms
 N. Kirchhoff and R. J. Nessel  Divergence almost everywhere of a pointwise comparison between convolution processes and their discrete analogues
 M. A. Kon and L. A. Raphael  Generalized multiresolution analysis and convergence of spline approximations on \(\mathbb R^d\)
 M. Z. Nashed and G. G. Walter  Reproducing kernel Hilbert spaces from sampling expansions
 F. Stenger  Sinc convolutionA tool for circumventing some limitations of classical signal processing
 M. Zwaan  Bounds for the aliasing error in nonuniform sinc interpolation
 R. AlJarrah and S. Ali  The SUP norm of a weighted polynomial: Alternative proof
 T. I. Haweel and AM. Alhasan  A simplified square wave transform for signal processing
 K. A. Kamel, T. A. ElSadany, and A. H. Desoky  The use of attributed automaton in the recognition of handwritten numerals
 T. H. Koornwinder  Jacobi polynomials of type \(BC\), Jack polynomials, limit transitions and \(O(\infty )\)
 D. R. Masson  The last of the hypergeometric continued fractions
 A. E. Mohamed, M. A. BahieEldin, and S. T. Soliman  Processing of FSK/FH signals with unknown code
 H. Ogawa and N.E. Berrached  A theory of extended pseudobiorthogonal bases and its application to generalized sampling theorem
 T. Strohmer  On discrete bandlimited signal extrapolation
 V. A. Zheludev  Periodic splines and wavelets
