eBook ISBN:  9780821877814 
Product Code:  CONM/190.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877814 
Product Code:  CONM/190.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 190; 1995; 354 ppMSC: Primary 33; 41; 42; 94
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.
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.
ReadershipMathematicians, engineers and graduate students in mathematics.

Table of Contents

Articles

P. L. Butzer — Mathematics in Egypt and its connections with the court school of Charlemagne [ MR 1354843 ]

R. J. Nessel — Towards a survey of Paul Butzer’s contributions to approximation theory [ MR 1354844 ]

P. L. Butzer and A. Gessinger — Ergodic theorems for semigroups and cosine operator functions at zero and infinity with rates; applications to partial differential equations. A survey [ MR 1354845 ]

Carlo Bardaro and Gianluca Vinti — Modular estimates and modular convergence for linear integral operators [ MR 1354846 ]

James A. Donaldson and Daniel A. Williams, III — An abstract twopoint boundary value problem [ MR 1354847 ]

George Gasper and Walter Trebels — A RiemannLebesgue lemma for Jacobi expansions [ MR 1354848 ]

Yvette M. Gordon and Ahmed I. Zayed — Centroids: fast Fourier transform versus wavelets [ MR 1354849 ]

Michael Hauss — Rapidly converging series representations for zetatype functions [ MR 1354850 ]

J. R. Higgins — Sampling for multiband functions [ MR 1354851 ]

Mourad E. H. Ismail — The AskeyWilson operator and summation theorems [ MR 1354852 ]

Abdul J. Jerri — Reducing the Gibbs phenomenon in a FourierBessel series, Hankel and Fourier transforms [ MR 1354853 ]

N. Kirchhoff and R. J. Nessel — Divergence almost everywhere of a pointwise comparison between convolution processes and their discrete analogues [ MR 1354854 ]

Mark A. Kon and Louise A. Raphael — Generalized multiresolution analysis and convergence of spline approximations on $\mathbf {R}^d$ [ MR 1354855 ]

M. Zuhair Nashed and Gilbert G. Walter — Reproducing kernel Hilbert spaces from sampling expansions [ MR 1354856 ]

Frank Stenger — Sinc convolution—a tool for circumventing some limitations of classical signal processing [ MR 1354857 ]

M. Zwaan — Bounds for the aliasing error in nonuniform sinc interpolation [ MR 1354858 ]

Radwan Aljarrah and Sayel Ali — The sup norm of a weighted polynomial: alternative proof [ MR 1354859 ]

Tarek 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

Tom H. Koornwinder — Jacobi polynomials of type $BC$, Jack polynomials, limit transitions and $O(\infty )$

David R. Masson — The last of the hypergeometric continued fractions [ MR 1354861 ]

A. E. Mohamed, M. A. BahieEldin and S. T. Soliman — Processing of FSK/FH signals with unknown code

Hidemitsu Ogawa and NasrEddine Berrached — A theory of extended pseudobiorthogonal bases and its application to generalized sampling theorem [ MR 1354862 ]

Thomas Strohmer — On discrete bandlimited signal extrapolation [ MR 1354863 ]

Valery A. Zheludev — Periodic splines and wavelets [ MR 1354864 ]


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
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.
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.
Mathematicians, engineers and graduate students in mathematics.

Articles

P. L. Butzer — Mathematics in Egypt and its connections with the court school of Charlemagne [ MR 1354843 ]

R. J. Nessel — Towards a survey of Paul Butzer’s contributions to approximation theory [ MR 1354844 ]

P. L. Butzer and A. Gessinger — Ergodic theorems for semigroups and cosine operator functions at zero and infinity with rates; applications to partial differential equations. A survey [ MR 1354845 ]

Carlo Bardaro and Gianluca Vinti — Modular estimates and modular convergence for linear integral operators [ MR 1354846 ]

James A. Donaldson and Daniel A. Williams, III — An abstract twopoint boundary value problem [ MR 1354847 ]

George Gasper and Walter Trebels — A RiemannLebesgue lemma for Jacobi expansions [ MR 1354848 ]

Yvette M. Gordon and Ahmed I. Zayed — Centroids: fast Fourier transform versus wavelets [ MR 1354849 ]

Michael Hauss — Rapidly converging series representations for zetatype functions [ MR 1354850 ]

J. R. Higgins — Sampling for multiband functions [ MR 1354851 ]

Mourad E. H. Ismail — The AskeyWilson operator and summation theorems [ MR 1354852 ]

Abdul J. Jerri — Reducing the Gibbs phenomenon in a FourierBessel series, Hankel and Fourier transforms [ MR 1354853 ]

N. Kirchhoff and R. J. Nessel — Divergence almost everywhere of a pointwise comparison between convolution processes and their discrete analogues [ MR 1354854 ]

Mark A. Kon and Louise A. Raphael — Generalized multiresolution analysis and convergence of spline approximations on $\mathbf {R}^d$ [ MR 1354855 ]

M. Zuhair Nashed and Gilbert G. Walter — Reproducing kernel Hilbert spaces from sampling expansions [ MR 1354856 ]

Frank Stenger — Sinc convolution—a tool for circumventing some limitations of classical signal processing [ MR 1354857 ]

M. Zwaan — Bounds for the aliasing error in nonuniform sinc interpolation [ MR 1354858 ]

Radwan Aljarrah and Sayel Ali — The sup norm of a weighted polynomial: alternative proof [ MR 1354859 ]

Tarek 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

Tom H. Koornwinder — Jacobi polynomials of type $BC$, Jack polynomials, limit transitions and $O(\infty )$

David R. Masson — The last of the hypergeometric continued fractions [ MR 1354861 ]

A. E. Mohamed, M. A. BahieEldin and S. T. Soliman — Processing of FSK/FH signals with unknown code

Hidemitsu Ogawa and NasrEddine Berrached — A theory of extended pseudobiorthogonal bases and its application to generalized sampling theorem [ MR 1354862 ]

Thomas Strohmer — On discrete bandlimited signal extrapolation [ MR 1354863 ]

Valery A. Zheludev — Periodic splines and wavelets [ MR 1354864 ]