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 2007
形態種別 研究論文(学術雑誌)
標題 Quaternion Fourier Transform on Quaternion Fields and Generalizations
執筆形態 単著
掲載誌名 Advances in Applied Clifford Algebras
掲載区分国外
出版社・発行元 Birkhaeuser, Basel, Springer.
巻・号・頁 17(3),pp.497-517
著者・共著者 HITZER Eckhard
概要 We treat the quaternionic Fourier transform (QFT) applied to quaternion fields and investigate QFT properties useful for applications. Different forms of the QFT lead us to different Plancherel theorems. We relate the QFT computation for quaternion fields to the QFT of real signals. We research the general linear (GL) transformation behavior of the QFT with matrices, Clifford geometric algebra and with examples. We finally arrive at wide-ranging non-commutative multivector FT generalizations of the QFT. Examples given are new volume-time and spacetime algebra Fourier transformations.
DOI 10.1007/s00006-007-0037-8