2. Fourier Analysis on Non-Abelian Groups

  1. Radomir S. Stanković,
  2. Claudio Moraga and
  3. Jaakko T. Astola

Published Online: 20 JUL 2005

DOI: 10.1002/047174543X.ch2

Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

How to Cite

Stanković, R. S., Moraga, C. and Astola, J. T. (2005) Fourier Analysis on Non-Abelian Groups, in Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/047174543X.ch2

Publication History

  1. Published Online: 20 JUL 2005
  2. Published Print: 24 JUN 2005

ISBN Information

Print ISBN: 9780471694632

Online ISBN: 9780471745433

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Keywords:

  • group representation theory;
  • harmonic analysis;
  • non-abelian groups;
  • matrix interpolation;
  • fourier analysis

Summary

The prelims comprise:

  • Representations of Groups

  • Fourier Transform on Finite Groups

  • Properties of the Fourier transform

  • Matrix interpretation of the Fourier transform on finite non-Abelian groups

  • Fast Fourier transform on finite non-Abelian groups

  • References