Semi-Bounded Restrictions of Dirac Type Operators and the Unique Continuation Property
Baer, Christian ; Strohmaier, Alexander
arXiv, 0004002 / Harvested from arXiv
Text on arXiv
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 $\phi$ contained in a closed A-invariant subspace onto which the restriction of A is semi-bounded has the unique continuation property: if $\phi$ vanishes on a non-empty open subset of M, then it vanishes on all of M.
Publié le : 2000-04-03
Classification:  Mathematical Physics,  Mathematics - Differential Geometry,  Mathematics - Spectral Theory,  35B05, 58J05, 81T20 
@article{0004002,
     author = {Baer, Christian and Strohmaier, Alexander},
     title = {Semi-Bounded Restrictions of Dirac Type Operators and the Unique
  Continuation Property},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0004002}
}

Baer, Christian; Strohmaier, Alexander. Semi-Bounded Restrictions of Dirac Type Operators and the Unique
  Continuation Property. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0004002/