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Mathematical Analysis, Wavelets, and Signal Processing
 
Edited by: Mourad E.H. Ismail University of South Florida, Tampa, FL
M. Zuhair Nashed University of Delaware, Newark, DE
Ahmed I. Zayed University of Central Florida, Orlando, FL
Ahmed F. Ghaleb Cairo University, Cairo, Egypt
Mathematical Analysis, Wavelets, and Signal Processing
eBook ISBN:  978-0-8218-7781-4
Product Code:  CONM/190.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Mathematical Analysis, Wavelets, and Signal Processing
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Mathematical Analysis, Wavelets, and Signal Processing
Edited by: Mourad E.H. Ismail University of South Florida, Tampa, FL
M. Zuhair Nashed University of Delaware, Newark, DE
Ahmed I. Zayed University of Central Florida, Orlando, FL
Ahmed F. Ghaleb Cairo University, Cairo, Egypt
eBook ISBN:  978-0-8218-7781-4
Product Code:  CONM/190.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1901995; 354 pp
    MSC: 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.

    Readership

    Mathematicians, 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 two-point boundary value problem [ MR 1354847 ]
    • George Gasper and Walter Trebels — A Riemann-Lebesgue 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 zeta-type functions [ MR 1354850 ]
    • J. R. Higgins — Sampling for multi-band functions [ MR 1354851 ]
    • Mourad E. H. Ismail — The Askey-Wilson operator and summation theorems [ MR 1354852 ]
    • Abdul J. Jerri — Reducing the Gibbs phenomenon in a Fourier-Bessel 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. El-Sadany 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. Bahie-Eldin and S. T. Soliman — Processing of FSK/FH signals with unknown code
    • Hidemitsu Ogawa and Nasr-Eddine Berrached — A theory of extended pseudo-biorthogonal bases and its application to generalized sampling theorem [ MR 1354862 ]
    • Thomas Strohmer — On discrete band-limited signal extrapolation [ MR 1354863 ]
    • Valery A. Zheludev — Periodic splines and wavelets [ MR 1354864 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1901995; 354 pp
MSC: 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.

Readership

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 two-point boundary value problem [ MR 1354847 ]
  • George Gasper and Walter Trebels — A Riemann-Lebesgue 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 zeta-type functions [ MR 1354850 ]
  • J. R. Higgins — Sampling for multi-band functions [ MR 1354851 ]
  • Mourad E. H. Ismail — The Askey-Wilson operator and summation theorems [ MR 1354852 ]
  • Abdul J. Jerri — Reducing the Gibbs phenomenon in a Fourier-Bessel 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. El-Sadany 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. Bahie-Eldin and S. T. Soliman — Processing of FSK/FH signals with unknown code
  • Hidemitsu Ogawa and Nasr-Eddine Berrached — A theory of extended pseudo-biorthogonal bases and its application to generalized sampling theorem [ MR 1354862 ]
  • Thomas Strohmer — On discrete band-limited signal extrapolation [ MR 1354863 ]
  • Valery A. Zheludev — Periodic splines and wavelets [ MR 1354864 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.