摘要
The tangential k-Cauchy-Fueter operator and k-CF functions are counterparts of the tangential Cauchy–Riemann operator and CR functions on the Heisenberg group in the theory of several complex variables,respectively.In this paper,we introduce a Lie group that the Heisenberg group can be imbedded into and call it generalized complex Heisenberg.We investigate quaternionic analysis on the generalized complex Heisenberg.We also give the Penrose integral formula for k-CF functions and construct the tangential k-Cauchy-Fueter complex.
基金
Supported by National Nature Science Foundation in China(12101564,11971425,11801508)
Nature Science Foundation of Zhejiang province(LY22A010013)
Domestic Visiting Scholar Teacher Professional Development Project(FX2021042)。
