6. Gibbs Derivatives on Finite Groups

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

Published Online: 20 JUL 2005

DOI: 10.1002/047174543X.ch6

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) Gibbs Derivatives on Finite 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.ch6

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:

  • gibbs derivatives;
  • finite groups;
  • fourier transform;
  • matrix interpolation;
  • differential operators

Summary

The prelims comprise:

  • Definition and properties of Gibbs derivatives on finite non-Abelian groups

  • Gibbs anti-derivative

  • Partial Gibbs derivatives

  • Gibbs differential equations

  • Matrix interpretation of Gibbs derivatives

  • Fast algorithms for calculation of Gibbs derivatives on finite groups

  • Calculation of Gibbs derivatives through DDs

  • References