报告题目：Analysis on Cayley-Dickson algebras

报告人：任广斌 教授（中国科学技术大学）

报告时间：2024年4月12日(周五)下午15:30-16:30

主持人：乔建永 教授

地点：6686体育集团公司西土城校区教三楼305

报告摘要：

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.

报告人介绍：

任广斌，博士，博士生导师，二级教授，从事超复分析的研究，在J.EUR.MATH.SOC., MATH.ANN.等期刊发表学术论文90多篇，是AACA, CAOT杂志编委。