Regularity of solutions to a Vekua-type equation on compact Lie groups
arXiv:2101.06316 · doi:10.1007/s10231-021-01120-7
Abstract
We present sufficient conditions to have global hypoellipticity for a class of Vekua-type operators defined on a compact Lie group. When the group has the property that every non-trivial representation is not self-dual we show that these sufficient conditions are also necessary. We also present results about the global solvability for this class of operators.
arXiv comment23 pages
References in corpus (4)
- Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere
- Hormander class of pseudo-differential operators on compact Lie groups and global hypoellipticity
- Global hypoellipticity and global solvability for vector fields on compact Lie groups
- Partial Fourier series on compact Lie groups