We consider a periodic pseudo-differential operator on the real line, which is a
lower-order perturbation of an elliptic operator with a homogeneous symbol and
constant coefficients. It is proved that the density of states of such an
operator admits a complete asymptotic expansion at large energies. A few first
terms of this expansion are found in a closed form.
Publié le : 2006-05-15
Classification:
periodic pseudodifferential operators,
density of states,
35P20,
47G30,
47A55,
81Q10
@article{1148492176,
author = {Sobolev , Alexander V.},
title = {Asymptotics of the integrated density of states for
periodic elliptic pseudo-differential operators in dimension one},
journal = {Rev. Mat. Iberoamericana},
volume = {22},
number = {2},
year = {2006},
pages = { 55-92},
language = {en},
url = {http://dml.mathdoc.fr/item/1148492176}
}
Sobolev , Alexander V. Asymptotics of the integrated density of states for
periodic elliptic pseudo-differential operators in dimension one. Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, pp. 55-92. http://gdmltest.u-ga.fr/item/1148492176/