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(国際会議プロシーディングス)
査読 査読あり
標題 Uncertainty Principle for Clifford Geometric Algebras Cl_{n,0} , n = 3 (mod 4) based on Clifford Fourier Transform
執筆形態 共著
掲載誌名 Springer (SCI) Book Series Applied and Numerical Harmonic Analysis
巻・号・頁 pp.45-54
著者・共著者 HITZER Eckhard, B. Mawardi
概要 First, the basic concepts of the multivector functions, vector differential and vector derivative in geometric algebra are introduced. Second, we define a generalized real Fourier transform on Clifford multivector-valued functions (f : ℝn → Cl n,0, n = 3 (mod 4)). Third, we introduce a set of important properties of the Clifford Fourier transform on Cl n,0, n = 3 (mod 4) such as differentiation properties, and the Plancherel theorem. Finally, we apply the Clifford Fourier transform properties for proving a directional uncertainty principle for Cl n,0 n = 3 (mod 4) multivector functions.
DOI 10.1007/978-3-7643-7778-6_6