Semi-Bounded Restrictions of Dirac Type Operators and the Unique Continuation Property
| dc.creator | Baer, Christian | |
| dc.creator | Strohmaier, Alexander | |
| dc.date | 2000-04-03 | |
| dc.date | 2000-08-11 | |
| dc.date.accessioned | 2026-07-07T07:51:05Z | |
| dc.date.available | 2026-07-07T07:51:05Z | |
| dc.description | Let M be a connected Riemannian manifold and let D be a Dirac type operator acting on smooth compactly supported sections in a Hermitian vector bundle over M. Suppose D has a self-adjoint extension A in the Hilbert space of square-integrable sections. We show that any $L^2$-section $ϕ$ contained in a closed A-invariant subspace onto which the restriction of A is semi-bounded has the unique continuation property: if $ϕ$ vanishes on a non-empty open subset of M, then it vanishes on all of M. | |
| dc.description | 10 pages, LaTeX, minor corrections, reference added | |
| dc.identifier | https://arxiv.org/abs/math-ph/0004002 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0004002 | |
| dc.identifier | Diff. Geom. Appl. 15, 175-182 (2001) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125390 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Differential Geometry | |
| dc.subject | Spectral Theory | |
| dc.subject | 35B05, 58J05, 81T20 | |
| dc.title | Semi-Bounded Restrictions of Dirac Type Operators and the Unique Continuation Property | |
| dc.type | text |