We prove the existence of the density of states of a local, self-adjoint operator determined by a coercive, almost periodic quadratic form on . The support of the density coincides with the spectrum of the operator in .
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-3-4,
author = {Andrzej Krupa},
title = {The density of states of a local almost periodic operator in $$\mathbb{R}$^{$\nu$}$
},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {227-237},
zbl = {1052.47043},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-3-4}
}
Andrzej Krupa. The density of states of a local almost periodic operator in $ℝ^{ν}$
. Studia Mathematica, Tome 157 (2003) pp. 227-237. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-3-4/