International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 20682, 3 pages
Logarithm of the Discrete Fourier Transform
Digipen Institute of Technology, Redmond 98052, WA, USA
Received 1 June 2007; Accepted 7 August 2007
Academic Editor: Jonathan M. Borwein
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.
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.