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 2021/04
形態種別 研究論文
査読 査読あり
標題 Generalized Uncertainty Principles associated with the Quaternionic Offset Linear Canonical Transform
執筆形態 共著
掲載誌名 Complex Variables and Elliptic Equations
掲載区分国外
出版社・発行元 Taylor and Francis
総ページ数 20
担当範囲 part of computation, part of text
著者・共著者 Y. El Haoui, E.H.itzer
概要 The quaternionic offset linear canonical transform (QOLCT) can be defined as a generalization of the quaternionic linear canonical transform (QLCT). In this paper, we define the QOLCT, we derive the relationship between the QOLCT and the quaternion Fourier transform (QFT). Based on this fact, we prove the Rayleigh formula and some properties related to the QOLCT. Then, we generalize some different uncertainty principles (UPs), including Heisenberg-Weyl's UP, Hardy's UP, Beurling's UP, and logarithmic UP to the QOLCT domain.
researchmap用URL https://www.tandfonline.com/doi/full/10.1080/17476933.2021.1916919