LAGUERRE CALCULUS ON NILPOTENT LIE GROUPS AND ITS APPLICATIONS

演講地點: 

天數 440

時間: 

2026-06-29 (星期一) 10:00 - 11:00

演講摘要: 

演講者:Prof. Der-Chen Chang (Georgetown University)

講 題:LAGUERRE CALCULUS ON NILPOTENT LIE GROUPS AND ITS APPLICATIONS

時 間:2026年6月29日 (星期一) 10:00 - 11:00 a.m.

地 點:臺灣大學天數館440室

摘 要:The Laguerre calculus is widely used for the inversion of differential operators on the Heisenberg group. In this talk, we first review some results for Laguerre calculus on the Heisenberg group. Then we extend these results to nilpotent groups of step two, and test it in the determining of the fundamental solution of the subLaplace operator. We also apply it to find the Szeg ̈o kernels of the projection operators to a kind of regular functions on the quaternion Heisenberg group.

Organizer: Chun-Yen Shen

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