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HITZER, Eckhard
Senior Associate Professor Division of Arts and Sciences, College of Liberal Arts, International Christian University |
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| Language | English |
| Publication Date | 2005 |
| Type | Research Paper (International Conference Proceedings) |
| Peer Review | With peer review |
| Title | Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0) based on Clifford Fourier Transform |
| Contribution Type | Joint Work |
| Journal | International Conference on Numerical Analysis and Applied Mathematics 2005 |
| Journal Type | Another Country |
| Publisher | Wiley-VCH |
| Volume, Issue, Pages | pp.922-925 |
| Author and coauthor | HITZER Eckhard, B. Mawardi |
| Details | In the field of applied mathematics the Fourier transform has developed into an important tool. It is a powerful method for solving partial differential equations. The Fourier transform provides also a technique for signal analysis where the signal from the original domain is transformed to the spectral or frequency domain. In the frequency domain many characteristics of the signal are revealed. With these facts in mind, we extend the Fourier transform in geometric algebra. ...
In this paper we adopt and expand the generalization of the Fourier transform in Clifford geometric algebra G_3 recently suggested by Ebling and Scheuermann [5]. We explicitly show detailed properties of the real Clifford geometric algebra Fourier transform (CFT), which we subsequently use to define and prove the uncertainty principle for G_3 multivector functions. |