Directional Uncertainty Principle for Quaternion Fourier Transforms
Advances in Applied Clifford Algebras, 20(2), pp. 271-284 (2010), online since 08 July 2009.
This paper derives a new directional uncertainty principle for quaternion
valued functions subject to the quaternion Fourier transformation. This
can be generalized to establish directional uncertainty principles in Clifford
geometric algebras with quaternion subalgebras. We demonstrate this with
the example of a directional spacetime algebra function uncertainty principle
related to multivector wave packets.
Mathematics Subject Classification (2000). Primary 11R52; Secondary 42A38, 15A66, 83A05, 35L05.
Keywords. Geometric algebra, quaternions, uncertainty, multivector wave packets, spacetime algebra.
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