Recent Advances in Fourier Analysis and Its Applications

  • J. S. Byrnes
  • Jennifer L. Byrnes

Part of the NATO ASI Series book series (ASIC, volume 315)

Table of contents

  1. Front Matter
    Pages i-x
  2. Chemical, Physical and Biomedical Applications

  3. Polynomials with Restricted Coefficients

  4. Fourier Analysis in Engineering

    1. Front Matter
      Pages 141-141
    2. Saila Ponnapalli, Tapan K. Sarkar, Ercument Arvas
      Pages 201-220
    3. Richard Tolimieri, Myoung An
      Pages 237-250
    4. Athanasios Papoulis
      Pages 377-386
    5. Hans G. Feichtinger
      Pages 427-440
    6. Christopher Heil, David Walnut
      Pages 441-454
    7. W. R. Madych
      Pages 455-462
  5. Complex Analysis and Fourier Analysis

    1. Front Matter
      Pages 561-561
    2. Harold S. Shapiro
      Pages 563-577
    3. C. Carton-Lebrun, H. P. Heinig
      Pages 579-596
    4. W. K. Hayman
      Pages 597-611
    5. Ward R. Evans
      Pages 613-622
    6. A. Turan Gürkanli
      Pages 643-651
    7. K. Seitz
      Pages 661-668
  6. Problems

    1. Front Matter
      Pages 669-669
    2. J. S. Byrnes, Jennifer L. Byrnes
      Pages 671-672
  7. Back Matter
    Pages 679-686

About this book


This volume contains papers presented at the July, 1989 NATO Advanced Study Institute on Fourier Analysis and its Applications. The conference, held at the beautiful II Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy, created a dynamic in­ teraction between world-renowned scientists working in the usually disparate communities of pure and applied Fourier analysts. The papers to be found herein include important new results in x-ray crystallography by Nobel Laureate Herbert Hauptman, the application of the new concept of bispectrum to system identification by renowned probabilist Athanasios Papoulis, fascinating appli­ cations of number theory in Fourier analysis by eminent electrical engineer Manfred R. Schroeder, and exciting concepts regarding polynomials with restricted coefficients by foremost mathematical problem solver Donald J. Newman. The remaining papers further illustrate the inherent power and beauty of classical Fourier analysis, whether the results presented were sought as an end in themselves, or whether these classical methods were employed as a tool in illustrating and solving a particular applied problem. From antenna design to concert hall acoustics to image and speech processing to unimodular polynomi­ als, each conference participant benefited significantly from his or her exposure, in many cases for the first time, to those scientists on the other end of the spectrum from them­ selves. The purpose of this volume is to pass those benefits on to the reader.


Fourier analysis Fourier transform acoustics coding crystallography distribution fast Fourier transform fast Fourier transform (FFT) harmonic analysis signal processing system identification uncertainty

Editors and affiliations

  • J. S. Byrnes
    • 1
    • 2
  • Jennifer L. Byrnes
    • 3
  1. 1.Prometheus Inc.NewportUSA
  2. 2.University of Massachusetts at BostonBostonUSA
  3. 3.Harvard UniversityCambridgeUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1990
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-6784-3
  • Online ISBN 978-94-009-0665-5
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site