The tangential \(k\)-Cauchy-Fueter type operator and Penrose type integral formula on the generalized complex Heisenberg group
DOI10.1007/S11766-024-4942-6MaRDI QIDQ6542592
Guangzhen Ren, Yun Shi, Qianqian Kang
Publication date: 22 May 2024
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
generalized complex Heisenberg groupPenrose-type integral formulatangential \(k\)-Cauchy-Fueter-type operator
Functions of hypercomplex variables and generalized variables (30G35) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Nilpotent and solvable Lie groups (22E25) Differential complexes (58J10) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)
Cites Work
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- The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
- The tangential \(k\)-Cauchy-Fueter operator and \(k\)-CF functions over the Heisenberg group
- The tangential \(k\)-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group
- Invariant resolutions for several Fueter operators
- Complexes of invariant operators in several quaternionic variables
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