The density of states of a local almost periodic operator in ${ℝ}^{\nu }$

Andrzej Krupa. "The density of states of a local almost periodic operator in $ℝ^{ν}$." Studia Mathematica 158.3 (2003): 227-237. <http://eudml.org/doc/284540>.

@article{AndrzejKrupa2003,
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 $H^m(ℝ^\{ν\})$. The support of the density coincides with the spectrum of the operator in $L²(ℝ^\{ν\})$.},
author = {Andrzej Krupa},
journal = {Studia Mathematica},
keywords = {existence of the density of states; support; spectrum},
language = {eng},
number = {3},
pages = {227-237},
title = {The density of states of a local almost periodic operator in $ℝ^\{ν\}$},
url = {http://eudml.org/doc/284540},
volume = {158},
year = {2003},
}

TY - JOUR
AU - Andrzej Krupa
TI - The density of states of a local almost periodic operator in $ℝ^{ν}$
JO - Studia Mathematica
PY - 2003
VL - 158
IS - 3
SP - 227
EP - 237
AB - We prove the existence of the density of states of a local, self-adjoint operator determined by a coercive, almost periodic quadratic form on $H^m(ℝ^{ν})$. The support of the density coincides with the spectrum of the operator in $L²(ℝ^{ν})$.
LA - eng
KW - existence of the density of states; support; spectrum
UR - http://eudml.org/doc/284540
ER -