ヒッツェル,エクハルト   HITZER, Eckhard
  ヒッツェル, エクハルト
   所属   国際基督教大学教養学部 アーツ・サイエンス学科
   職種   上級准教授
言語種別 英語
発行・発表の年月 2005
形態種別 研究論文(国際会議プロシーディングス)
査読 査読あり
標題 Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0) based on Clifford Fourier Transform
執筆形態 共著
掲載誌名 International Conference on Numerical Analysis and Applied Mathematics 2005
掲載区分国外
出版社・発行元 Wiley-VCH
巻・号・頁 pp.922-925
著者・共著者 HITZER Eckhard, B. Mawardi
概要 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.