HITZER, Eckhard

   Senior Associate Professor

   Division of Arts and Sciences, College of Liberal Arts, International Christian University
Language English
Publication Date 2010
Type Research Paper (Scientific Journal)
Peer Review With peer review
Title Directional Uncertainty Principle for Quaternion Fourier Transforms
Contribution Type Single Work
Journal Advances in Applied Clifford Algebras
Journal TypeAnother Country
Publisher Birkhaeuser, Basel, Switzerland
Volume, Issue, Pages 20(2),pp.271-284
Responsible for Everything.
Author and coauthor HITZER Eckhard
Details 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.
DOI 10.1007/s00006-009-0175-2