International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 20682, 3 pages
doi:10.1155/2007/20682
Logarithm of the discrete Fourier transform
Michael Aristidou
and Jason Hanson
Digipen Institute of Technology, Redmond 98052, WA, USA
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.