Hitzer, Eckhard M. S. Directional uncertainty principle for quaternion Fourier transform. (English) Zbl 1198.42006 Adv. Appl. Clifford Algebr. 20, No. 2, 271-284 (2010). Summary: 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. Cited in 1 ReviewCited in 53 Documents MSC: 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 15A66 Clifford algebras, spinors 11R52 Quaternion and other division algebras: arithmetic, zeta functions PDFBibTeX XMLCite \textit{E. M. S. Hitzer}, Adv. Appl. Clifford Algebr. 20, No. 2, 271--284 (2010; Zbl 1198.42006) Full Text: DOI arXiv