Abstract
In this paper, we define in an intrinsic way operators on a compact Lie group by means of symbols using the representations of the group. The main purpose is to show that these operators form a symbolic pseudo-differential calculus which coincides or generalises the (local) Hörmander pseudo-differential calculus on the group viewed as a compact manifold.
| Original language | English |
|---|---|
| Pages (from-to) | 3404-3477 |
| Number of pages | 74 |
| Journal | Journal of Functional Analysis |
| Volume | 268 |
| Issue number | 11 |
| Early online date | 29 Mar 2015 |
| DOIs | |
| Publication status | Published - 1 Jun 2015 |
Keywords
- Harmonic analysis on Lie groups
- Analysis on compact Lie groups
- Pseudo-differential calculus on manifolds
