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 2006
形態種別 研究論文(学術雑誌)
査読 査読あり
標題 Clifford Fourier Transformation and Uncertainty Principle for the Clifford Geometric Algebra Cl(3,0)
執筆形態 共著
掲載誌名 Advances in Applied Clifford Algebras
掲載区分国外
出版社・発行元 Birkhaeuser, Basel, Switzerland
巻・号・頁 16(1),pp.41-61
著者・共著者 HITZER Eckhard, B. Mawardi
概要 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