Heisenberg群上不变量PDO的分析
Analysis of invariant PDO's on the Heisenberg group
摘要：
在这些讲义中，海森堡群的表示论以及豪通过具有广义复高斯的扭曲卷积算子构建的亚群进行了回顾，并展示了这些工具如何成功地应用于海森堡群上二阶左不变微分算子的局部可解性研究。
英文摘要：
In these lecture notes, the representation theory of the Heisenberg group as well as Howe's construction of the metaplectic group by means of twisted convolution operators with generalized, complex Gaussians are reviewed, and it is shown how these tools can be successfully applied to the study of local solvability for second order left-invariant differential operators on the Heisenberg group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
