Solvability of dissipative second order left-invariant differential operators on the Heisenberg group
| dc.creator | Mueller, Detlef | |
| dc.date | 2003-07-01 | |
| dc.date.accessioned | 2026-07-07T04:59:19Z | |
| dc.date.available | 2026-07-07T04:59:19Z | |
| dc.description | We prove local solvability for large classes of operators of the form $$ L=\sum_{j,k=1}^{2n}a_{jk}V_jV_k+iαU,$$ where the $V_j$ are left-invariant vector fields on the Heisenberg group satisfying the commutation relations $[V_j,V_{j+n}]=U$ for $1\le j\le n$, and where $A=(a_{jk})$ is a complex symmetric matrix with semi-definite real part. Our results widely extend all of the results for the case of non-real, semi-definite matrices $A$ known to date, in particular those obtained recently jointly with F. Ricci under Sjöstrand's cone condition. | |
| dc.description | 36 pages | |
| dc.identifier | https://arxiv.org/abs/math/0307002 | |
| dc.identifier | http://arxiv.org/abs/math/0307002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67938 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 35A05, 42A80 | |
| dc.title | Solvability of dissipative second order left-invariant differential operators on the Heisenberg group | |
| dc.type | text |