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	2020/09
形態種別	研究論文
査読	査読あり
標題	Heisenberg's and Hardy's uncertainty principles for special relativistic Space-Time Fourier transformation
執筆形態	共著
掲載誌名	Adv. Appl. Clifford Algebras
掲載区分	国外
出版社・発行元	SpringerNature
巻・号・頁	30(69),pp.1-29
総ページ数	29
担当範囲	part of computations and text
著者・共著者	Youssef El Haoui, E. H.itzer, Said Fahlaoui
概要	The special relativistic (space-time) Fourier transform (SFT) in Clifford algebra Cl_{(3,1)} of space-time, first introduced from a mathematical point of view in Hitzer (Adv Appl Clifford Algebras 17:497–517, 2007), extends the quaternionic Fourier transform to functions, fields and signals in space-time. The purpose of this paper is to advance the study of the SFT and investigate important properties such as continuity, Plancherel identity, Riemann–Lebesgue lemma, and to establish the associated Hausdorff–Young inequality. Moreover, using the observer related space-time split several uncertainty inequalities are established, including Heisenberg’s uncertainty principle and Hardy’s theorem.
researchmap用URL	https://doi.org/10.1007/s00006-020-01093-5