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数理文化节·学术讲座预告】理学院首届数理文化节学术报告第2期——Analysis on Cayley-Dickson algebras

主讲人 :任广斌 地点 :6686体育集团公司西土城校区教三楼305 开始时间 : 2024-04-12 15:30:00 结束时间 :

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:2024412(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。


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