Directional Uncertainty Principle for Quaternion Fourier Transform

Abstract

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.

14 pages

References in corpus (1)

• Quaternion Fourier Transform on Quaternion Fields and Generalizations

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