The tangential k-Cauchy-Fueter type operator and Penrose type integral formula on the generalized complex Heisenberg group

作     者：REN Guang-zhen SHI Yun KANG Qian-qian REN Guang-zhen;SHI Yun;KANG Qian-qian

作者机构：Department of MathematicsZhejiang International Studies UniversityHangzhou 310023China Department of MathematicsZhejiang University of Science and TechnologyHangzhou 310023China 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2024年第39卷第1期

页      面：181-190页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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) 

主　　题：the generalized complex Heisenberg group the tangential k-Cauchy-Fueter type operator Penrose-type integral formula 

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,*** this paper,we introduce a Lie group that the Heisenberg group can be imbedded into and call it generalized complex *** investigate quaternionic analysis on the generalized complex *** also give the Penrose integral formula for k-CF functions and construct the tangential k-Cauchy-Fueter complex.