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 Type | Another 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 |