报告问题：Analysis on Cayley-Dickson algebras
报告人：任广斌教授（中国科学手艺大学）
报告时间：2024年4月12日(周五)下昼15:30-16:30
主持人：乔建永教授
所在：亚美AM8AG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.
报告人先容：
任广斌 ，博士 ，博士生导师 ，二级教授 ，从事超复剖析的研究 ，在J.EUR.MATH.SOC., MATH.ANN.等期刊揭晓学术论文90多篇 ，是AACA, CAOT杂志编委。
