HITZER, Eckhard
Senior Associate Professor Division of Arts and Sciences, College of Liberal Arts, International Christian University |
|
Language | English |
Publication Date | 2006 |
Type | Research Paper (Scientific Journal) |
Peer Review | With peer review |
Title | Clifford Fourier Transformation and Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0) |
Contribution Type | Joint Work |
Journal | Advances in Applied Clifford Algebras |
Journal Type | Another Country |
Publisher | Birkhaeuser, Basel, Switzerland |
Volume, Issue, Pages | 16(1),pp.41-61 |
Author and coauthor | HITZER Eckhard, B. Mawardi |
Details | First, the basic concept of the vector derivative in geometric algebra is introduced. Second, beginning with the Fourier transform on a scalar function we generalize to a real Fourier transform on Clifford multivector-valued functions (f:\user2R3→Cl3,0). Third, we show a set of important properties of the Clifford Fourier transform on Cl 3,0 such as differentiation properties, and the Plancherel theorem. Finally, we apply the Clifford Fourier transform properties for proving an uncertainty principle for Cl 3,0 multivector functions. |
DOI | 10.1007/s00006-006-0003-x |