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Recent Advances in Fourier Analysis and Its Applications

  • Book
  • © 1990

Overview

Editors:
  1. J. S. Byrnes

    1. Prometheus Inc., Newport, USA
      University of Massachusetts at Boston, Boston, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Jennifer L. Byrnes

    1. Harvard University, Cambridge, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 315)

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Table of contents (42 chapters)

  1. Front Matter

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

    1. Front Matter

      Pages 1-1
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    2. A Minimal Principle in the Direct Methods of X-Ray Crystallography

      • Herbert Hauptman
      Pages 3-15

    3. Fourier Shape Analysis Of Anatomic Structures

      • D. N. Kennedy, P. A. Filipek, V. S. Caviness
      Pages 17-28

    4. Harmonic Analysis of the Semi-Classical Limit

      • Ketill Ingolfsson
      Pages 29-40

    5. Fourier Transform in Non-Euclidean Space and its Applications to Physics

      • M. Kovalyov, M. Legare
      Pages 41-57

    6. Complex Finite Fourier Transform Techniques Applied to Thermal Energy Storage Problems

      • Mazhar Ünsal
      Pages 59-72

    7. Spline Interpolation of Data of Power Growth

      • A. Jakimovski
      Pages 73-75

  4. Fourier Analysis in Engineering

    1. Front Matter

      Pages 141-141
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    2. Uncertainty Principle Inequalities and Spectrum Estimation

      • John J. Benedetto
      Pages 143-182

    3. The Generalized Pencil-Of-Function (GPOF) Method for Extracting Poles from Transient Responses

      • Yingbo Hua, Tapan K. Sarkar, Fengdo Hu
      Pages 183-199

    4. Application of Conjugate Gradient Method and FFT to Electromagnetics and Signal Processing Problems

      • Saila Ponnapalli, Tapan K. Sarkar, Ercument Arvas
      Pages 201-220

    5. On the Application of Fourier Transformation in Antenna Measurements

      • K. Van’T Klooster
      Pages 221-236

    6. Computations in X-Ray Crystallography

      • Richard Tolimieri, Myoung An
      Pages 237-250

    7. A New Approach to Irregular Sampling of Band-Limited Functions

      • Karlheinz Gröchenig
      Pages 251-260
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Keywords

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.

Editors and Affiliations

  • Prometheus Inc., Newport, USA

    J. S. Byrnes

  • University of Massachusetts at Boston, Boston, USA

    J. S. Byrnes

  • Harvard University, Cambridge, USA

    Jennifer L. Byrnes

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