Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894461 | Journal of Geometry and Physics | 2008 | 8 Pages |
Abstract
The Cauchy-Fueter complex is the counterpart of the Dolbeault complex in the theory of several quaternionic variables. By using the fundamental solution to the Laplacian operators of fourth order associated to this differential complex on Hn, we can solve the system of non-homogeneous Cauchy-Fueter equations and prove the Hartogs' extension phenomenon for quaternionic regular functions on any domain. The quaternionic version of Bochner-Martinelli integral representation formula for H-valued functions is also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Wei Wang,