报告人：Uwe Kaehler教授(阿威罗大学)
题目：Global pseudo-differential operator calculus over Spin(4)
日期：2023年4月7日
时间：14:00-16:00(北京时间)
腾讯会议ID：890-493-378，Pin:1234
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摘要：In this talk we present a construction of a global symbol calculus of pseudo-differential operators in the sense of Ruzhansky-Turunen-Wirth on the group Spin(4). Using representations of Spin(4) we construct a group Fourier transform and establish the calculus of left-invariant differential operators and of difference operators on the group Spin(4). Afterwards we apply this calculus to give criteria for the subellipticity and the global hypoellipticity of pseudo-differential operators in terms of their matrix-valued full symbols. Several examples of first and second order globally hypoelliptic differential operators are given, including some where the criteria of hypoellipticity will be reduced to the problem of distance between irrational and rational numbers.
Uwe Kaehler教授简介：葡萄牙Aveiro大学数学系教授。1998/09于德国Chemnitz University of Technology数学系获得博士学位；2006/01于葡萄牙Aveiro大学数学系获得Habilitation高级学术资格(欧洲国家第二阶段博士)。研究领域为：Clifford分析及应用、PDE、算子理论、逼近论、离散函数论、调和分析。担任六个国际杂志编委(Complex Anal. and Operator Th., Applied Math. and Comp., Central European J. of Math., Open Math., Advances in Applied Clifford Algebras, IJWMIP),共发表论文102篇。 现任ISSAC主席。
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