報告題目：Analysis on Cayley-Dickson algebras
報告人：任廣斌 教授（中國科學技術大學）
報告時間：2024年4月12日(周五)下午15:30-16:30
主持人：喬建永 教授
地點：彩神v西土城校區教三樓305
報告摘要：
The Cayley-Dickson algebras establish a structured sequence beginning with real numbers, complex numbers, quaternions, and octonions. Our work embarks on a thorough analysis of the Cayley-Dickson algebras, with a special emphasis on cultivating Hermitian Clifford analysis within this algebraic structure. A significant part of this endeavor is the adaptation of the Fourier transform specifically for use within Cayley-Dickson algebras. Furthermore, we examine the intricacies of Hermitian Clifford wavelet transformations, unveil a unique twist function inherent to Cayley-Dickson algebras, and conceptualize these algebras within the framework of octonionic Hilbert spaces, thus expanding their mathematical utility and scope of application.
報告人介紹：
任廣斌，博士，博士生導師，二級教授，從事超複分析的研究，在J.EUR.MATH.SOC., MATH.ANN.等期刊發表學術論文90多篇，是AACA, CAOT雜誌編委。
