報告人：Uwe Kaehler教授(阿威羅大學)
題目：Global pseudo-differential operator calculus over Spin(4)
日期：2023年4月7日
時間：14:00-16:00(北京時間)
騰訊會議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教授簡介：葡萄牙Aveiro大學數(shù)學系教授。1998/09于德國Chemnitz University of Technology數(shù)學系獲得博士學位,；2006/01于葡萄牙Aveiro大學數(shù)學系獲得Habilitation高級學術資格(歐洲國家第二階段博士),。研究領域為：Clifford分析及應用、PDE,、算子理論,、逼近論、離散函數(shù)論,、調(diào)和分析,。擔任六個國際雜志編委(Complex Anal. and Operator Th., Applied Math. and Comp., Central European J. of Math., Open Math., Advances in Applied Clifford Algebras, IJWMIP),共發(fā)表論文102篇。 現(xiàn)任ISSAC主席,。  

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