# Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one.

Revista Matemática Iberoamericana (2006)

- Volume: 22, Issue: 1, page 55-92
- ISSN: 0213-2230

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topSobolev, Alexander V.. "Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one.." Revista Matemática Iberoamericana 22.1 (2006): 55-92. <http://eudml.org/doc/41965>.

@article{Sobolev2006,

abstract = {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.},

author = {Sobolev, Alexander V.},

journal = {Revista Matemática Iberoamericana},

keywords = {Operadores pseudodiferenciales; Operadores elípticos; Teoría de perturbación; Espectros; Teoría de operadores; spectral theory; Schrödinger type operators; density of states},

language = {eng},

number = {1},

pages = {55-92},

title = {Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one.},

url = {http://eudml.org/doc/41965},

volume = {22},

year = {2006},

}

TY - JOUR

AU - Sobolev, Alexander V.

TI - Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one.

JO - Revista Matemática Iberoamericana

PY - 2006

VL - 22

IS - 1

SP - 55

EP - 92

AB - 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.

LA - eng

KW - Operadores pseudodiferenciales; Operadores elípticos; Teoría de perturbación; Espectros; Teoría de operadores; spectral theory; Schrödinger type operators; density of states

UR - http://eudml.org/doc/41965

ER -

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