The density of states of a local almost periodic operator in ${\Bbb R}^{\nu}$
Volume 158 / 2003
Studia Mathematica 158 (2003), 227-237
MSC: 47F05, 35P20, 47B25.
DOI: 10.4064/sm158-3-4
Abstract
We prove the existence of the density of states of a local, self-adjoint operator determined by a coercive, almost periodic quadratic form on $H^m({{\mathbb R}}^{\nu })$. The support of the density coincides with the spectrum of the operator in $L^2({{\mathbb R}}^{\nu })$.
