Abstract
The discrete Fourier transform defines a unitary matrix operator. The logarithm of this operator is computed, along with the projection maps onto its eigenspaces. A geometric interpretation of the discrete Fourier transform is also given.
Research Article | Open Access
Logarithm of the Discrete Fourier Transform
Academic Editor: Jonathan M. Borwein
Received01 Jun 2007
Accepted07 Aug 2007
Published03 Oct 2007
References
C. Meyer, Matrix Analysis and Applied Linear Algebra, Society for Industrial and Applied Mathematics, Philadelphia, Pa, USA, 2000.
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View at: Zentralblatt MATH | MathSciNetT. Nagell, Introduction to Number Theory, Chelsea, New York, NY, USA, 1981.
D. W. Kammler, A First Course in Fourier Analysis, Prentice-Hall, Upper Saddle River, NJ, USA, 2000.
Copyright
Copyright © 2007 Michael Aristidou and Jason Hanson. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.